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Mathematical Methods for Physicists
Browse related Subjects
...Read More graduate-level text in mathematical physics * Provides comprehensive coverage of the mathematics necessary for advanced study in physics and engineering * Focuses on problem-solving skills and offers a vast array of exercises * Clearly illustrates and proves mathematical relations New in the Sixth Edition: * Updated content throughout, based on users' feedback * More advanced sections, including differential forms and the elegant forms of Maxwell's equations * A new chapter on probability and statistics * More elementary sections have been deleted Hardcover. All text is legible, may contain markings, cover wear, loose/torn pages or staining and much writing. SKU: 9780120598151-5Good. Hardcover. May include moderately worn cover, writing, markings or slight discoloration. SKU: 9780120598151-4Customer Reviews
A good book
The book covers a very large range of mathematical issues. Some topics are well developed, like the ones covering complex analysis, while others, like the group theory, are much concise (in my opinion). In general, the book offers a good introduction to several topics, not only for the physicists but for the math and enginnering students too.
copernicus
Jun 11, 2007
indepth sourcebook
very complete and indepth source for many different mathematical tools
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New & Forthcoming Titles
Mathematical Olympiad Treasures
Andreescu, Titu, Enescu, Bogdan
2nd ed. 2012, VIII, 253p. 93 includes new sections, revisions, and many more Olympiad-like problems at various levels of difficulty
Aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics
Contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics
Should benefit undergraduate students, advanced high school students, instructors, and coaches
Encourages readers to think creatively about techniques and strategies for solving real-world problems
"I took great pleasure in reading Mathematical Olympiad Treasures, by Titu Andreescu and Bogdan Enescu. This book is the fruit of the prodigious activity of two well-known creators of mathematics problems in various mathematical journals.... In all the chapters, the reader can find numerous challenging problems. All featured solutions are interesting, given in increasing level of difficulty; some of them are real gems that will give great satisfaction to any math lover attempting to solve the problems—or even extend them. I believe strongly that Mathematical Olympiad Treasures will reveal the beauty of mathematics to all students, teachers, and all math lovers."
—MAA Online (Review of the First Edition)
"...this is one of a long recent series of challenging secondary math books, coauthored by Dr. Titu Andreescu and published by Birkhäuser, a series that has definitely enriched the literature on secondary mathematics—a credit to the coauthor and to the wisdom of the editor."
—Zentralblatt MATH (Review of the First Edition)
This second edition of Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for solving real-world problems, with new sections, revisions, and many more Olympiad-like problems at various levels of difficulty.
The problems are clustered by topic into three self-contained chapters. The book begins with elementary facts, followed by carefully selected problems and detailed, step-by-step solutions, which then lead to more complicated, challenging problems and their solutions. Reflecting the vast experience of two professors and Mathematical Olympiad coaches, the text will be invaluable to teachers, students, and puzzle enthusiasts. The advanced reader is challenged to find alternative solutions and extensions of the proposed problems.
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Overview
This book is an introduction to the ideas from general topology that are used in elementary analysis. It is written at a level that is intended to make the bulk of the material accessible to students in the latter part of their first year of study at a university or college although students will normally meet most of the work in their second or later years. The aim has been to bridge the gap between introductory books like the author's Mathematical Analysis: A Straightforward Approach, in which carefully selected theorems are discussed at length with numerous examples, and the more advanced book on analysis, in which the author is more concerned with providing a comprehensive and elegant theory than in smoothing the ways for beginners. An attempt has been made throughout not only to prepare the ground for more advanced work, but also to revise and to illuminate the material which students will have met previously but may have not fully
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2011Hardcover Fair Book is bound upside down and one page has a small tear in it. No writing/highlighting! SHIPS W/IN 24 HOURS! Processed by DHL with USPS delivery for an average ...of 3-5 Day Standard Shipping & 2-3 Day Expedited Shipping! ! FREE INSURANCE! Fast & Personal Support! Careful Packaging. No Hassle, Full Refund Return Policy!Read moreShow Less
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Overview
With an emphasis on problem solving and critical thinking, Mark Dugopolski's College Algebra, Sixth Edition gives students the essential strategies to help them develop the comprehension and confidence they need to be successful in this course. Students will find carefully placed learning aids and review tools to help them do the math.
Note
Editorial Reviews
Booknews
The first of two volumes that present 18 papers focusing on topics of interest to Gelfand, a pioneer in functional analysis. They include geometric quantum field theory, representation theory, combinatorial structures underlying various continuous constructions, quantum groups, and geometry. The papers in the second volume tend to be more oriented towards geometry. The papers were presented at an October 1993 conference in New Brunswick, New Jersey. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Product Details
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Meet the Author
Mark Dugopolski was born in Menominee, Michigan. After receiving a BS from Michigan State University, he taught high school in Illinois for four years. He received an MS in mathematics from Northern Illinois University at DeKalb. He then received a PhD in the area of topology and an MS in statistics from the University of Illinois at Champaign—Urbana. Mark taught mathematics at Southeastern Louisiana University in Hammond for twenty-five years and now holds the rank of Professor Emeritus of Mathematics. He has been writing textbooks since 1988. He is married and has two daughters. In his spare time he enjoys tennis, jogging, bicycling, fishing, kayaking, gardening, bridge, and motorcycling.
5. Systems of Equations and Inequalities.
Systems of Linear Equations in Two Variables.
Systems of Linear Equations in Three Variables.
Nonlinear Systems of Equations.
Partial Fractions.
Inequalities and Systems of Inequalities in Two Variables.
Linear Programming.
6. Matrices and Determinants.
Solving Linear Systems Using Matrices.
Operations with Matrices.
Multiplication of Matrices.
Inverses of Matrices.
Solution of Linear Systems in Two Variables.
Using Determinants.
Solution of Linear Systems in Three Variables UsingDeterminants.
7. The Conic Sections.
The Parabola.
The Ellipse and the Circle.
The Hyperbola
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Summary: The power and attractiveness of the subject of mathematics is often hidden from students who are in introductory courses. In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometr...show morey, topology, probability, and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study. ...show less
Surfing the Book Fun and Games: An Introduction to Rigorous Thought Number Theory: The Secret and Hidden Power of Numbers Infinity Geometric Gems Contortions of Space Chaos and Fractals Risky Business Farewell
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High School Functions Worksheets
Functions are a very elusive concept for many students. They help
us understand the world around us and are essential in the business
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Real Analysis: Measures, Integrals several topics and applications of integration theory that are rarely studied in literature
Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature.
This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It examines the concept of the Hausdorff measure, the properties of the area on smooth and Lipschitz surfaces, the divergence formula, and Laplace's method for finding the asymptotic behavior of integrals. The general theory is then applied to harmonic analysis, geometry, and topology. Preliminaries are provided on probability theory, including the study of the Rademacher functions as a sequence of independent random variables.
The book contains more than 600 examples and exercises. The reader who has mastered the first third of the book will be able to study other areas of mathematics that use integration, such as probability theory, statistics, functional analysis, partial probability theory, statistics, functional analysis, partial differential equations and others.
Real Analysis: Measures, Integrals and Applications is intended for advanced undergraduate and graduate students in mathematics and physics. It assumes that the reader is familiar with basic linear algebra and differential calculus of functions of several variables.
Table of contents
Measure.- The Lebesgue Model.- Measurable Functions.- The Integral.- The Product Measure.- Change of Variables in an Integral.- Integrals Dependent on a Parameter.- Surface Integrals.- Approximation and Convolution of the Space.- Fourier Series and the Fourier Transform.- Charges. The Radon-Nikodym Theory.- Integral Representation of Linear Functionals.- Appendices.
Distribution rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
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Overview
This book provides the optimal introduction to MATLAB and Simulink, the primary tools in engineering, science, and industry for simulating dynamic systems. Using the latest versions of the software, the book features 20 hands-on projects that provide a practical mastery of the subject areas including the code and executable files. Apart from a basic knowledge of mathematics and physics, no further specialist knowledge is necessary. There are also over 80, in-text, exercises where readers themselves can check their mastery of the material. A CD-ROM with source code accompanies
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Introductory Technical Mathematics - 5th edition
ISBN13:978-1418015435 ISBN10: 1418015431 This edition has also been released as: ISBN13: 978-1418015459 ISBN10: 1418015458
Summary: Introductory Technical Mathematics, 5th Edition provides current and practical vocational and technical math applications for today's sophisticated trade and technical work environments. Each unit delivers practical math concepts alongside step-by-step examples and problems drawn from various occupations. The plentiful examples and problem sets emphasize on-the-job applications of math. Enhancements to the fifth edition include improved algebra coverage, a new sectio...show moren on basic statistics, new material on conversions from metric to customary systems of measure, and a section that supplements the basics of working with spreadsheets for graphing.
Features:
a new section on basic statistics features an all-new chapter on statistics and a chapter that consolidates all the statistical graphing techniques of bar, line, and circle graphs into one location
APPENDIX A United States Customary and Metric Units of Measure APPENDIX B Formulas for Areas (A) of Plane Figures APPENDIX C Formulas for Volumes and Areas of Solid Figures APPENDIX D Answers to Odd-Numbered Exercises40.00 +$3.99 s/h
New
Great Lakes Textbooks Erie, PA
Express shipping only please.This is a big book that costs me $11.70 to ship
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Algebra Book Available!
This is the best book on learning basic algebra. It is thorough yet concise. The information is presented very clearly. The author has obviously tried to explain the concepts so that they `make sense¿ to students - and their parents. I use the book to explain algebra to my students. Like the other Master Math books by Ross, the topics flow logically and build in difficulty. What a breath of fresh air after the often confusing text books students are given in school. This book is helpful for students struggling with algebra and the parents who are tutoring them. This book is also extremely useful for older students who did not adequately learn algebra, yet find they need to know it later. Topics can easily be looked up and reviewed or learned. I highy recommend this book!
5 out of 7 people found this review helpful.
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Log-IC
Posted October 10, 2009
ALG 101 Launchpad
Splendid clarity and progression.
A cherry on top of this fine sundae,
maybe a single page of exponential,
radical,and complex properties for
a quick reference,( but that's nitpicking).
3 out of 5 people found this review helpful.
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Anonymous
Posted November 20, 2007
Outstanding Trigonometry Presentation!
This is the best book out there on learning trigonometry. I especially appreciate the visually-oriented focus. Each concept is described in all its forms, such as sine. Do you know each of the different ways sine can be described? Like the other Master Math books by Ross, the topics flow logically and are in context with what precedes and follows. It is thorough yet concise, and packed full of everything you, as tutor, or your kids need to know. The real world and fun applications are wonderful! The information is explained clearly and in a way that makes sense, so that a given concept is explained in such a way you understand what is being discussed rather than just memorizing formulas. What a breath of fresh air after the often confusing text books I was and my children are given in school. I really feel I can explain trigonometry to young people using this book! if I were going back to school, and taking math or science, this book would be in my backpack.
3 out of 5 people found this review helpful.
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Anonymous
Posted November 21, 2012
page 14 e reader
i am not sure if i am missing something but on page 14 the book says x times $1.00 per glass will equal 20. then shows this equation
X + ($1.00 per glass)=$20.00the internet is more helpful
This book is terrible. There are many books that are better. I found websites more helpful.
1 out of 3 people found this review helpful.
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| 677.169 | 1 |
Affine flag manifolds are infinite dimensional versions of familiar objects such as Gramann varieties. The book features lecture notes, survey articles, and research notes - based on workshops held in Berlin, Essen, and Madrid - explaining the significance of these and related objects (such as double affine Hecke algebras and affine Springer fibers)... more...
If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating... more...
This book mainly deals with the Bochner–Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a systematical introduction to the fundamental theories of the Bochner–Riesz means and important achievements attained in the last 50 years. For the Bochner–Riesz means of multiple Fourier integral, it... more...
There is a contest at a school to design a new playground. The students use blocks to build their models. As they build, they use three-dimensional shapes. Some students build a train out of blocks for the younger students to play on. Can you guess which three-dimensional shape they use for the train's wheels? Read to find out which design wins.... more...
The focus of this book and its geometric notions is on real vector spaces X that are finite or infinite inner product spaces of arbitrary dimension greater than or equal to 2. It characterizes both euclidean and hyperbolic geometry with respect to natural properties of (general) translations and general distances of X. Also for these spaces X, it studies... more...
Features the classical themes of geometry with plentiful applications in mathematics, education, engineering, and science Accessible and reader-friendly, Classical Geometry: Euclidean, Transformational, Inversive, and Projective introduces readers to a valuable discipline that is crucial to understanding bothspatial relationships and logical... more...
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in "Mathematics, Chemistry, and Astronomy — Professional and Reference" in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture... more...
You, Too, Can Understand Geometry - Just Ask Dr. Math ! Have you started studying geometry in math class? Do you get totally lost trying to find the perimeter of a rectangle or the circumference of a circle? Don't worry. Grasping the basics of geometry doesn't have to be as scary as it sounds. Dr. Math-the popular online math resource-is here to help!... more...
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Numerical Mathematics and Computing
9780495114758
ISBN:
0495114758
Pub Date: 2007 Publisher: Thomson Learning
Summary: Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more t...heoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION.
Cheney, Ward is the author of Numerical Mathematics and Computing, published 2007 under ISBN 9780495114758 and 0495114758. One hundred fourteen Numerical Mathematics and Computing textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $29.30, or buy new starting at $212.67
| 677.169 | 1 |
Prealgebra - 5th edition
Summary: Prealgebra, 5/e, is a consumable worktext that helps students make the transition from the concrete world of arithmetic to the symbolic world of algebra. The Aufmann team achieves this by introducing variables in Chapter 1 and integrating them throughout the text. This text's strength lies in the Aufmann Interactive Method, which enables students to work with math concepts as they're being introduced. Each set of matched-pair examples is organized around an objective...show more and includes a worked example and a You Try It example for students. In addition, the program emphasizes AMATYC standards, with a special focus on real-sourced data. The Fifth Edition incorporates the hallmarks that make Aufmann developmental texts ideal for students and instructors: an interactive approach in an objective-based framework; a clear writing style; and an emphasis on problem solving strategies, offering guided learning for both lecture-based and self-paced courses. The authors introduce two new exercises designed to foster conceptual understanding: Interactive Exercises and Think About It
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99
Comment: Clean pages. Sealed in plastic to protect from dust and damage in the warehouse. Worn edges and cover withElementary Statistics: A Brief Version", is a shorter version of the popular text "Elementary Statistics: A Step by Step Approach". This softcover edition includes all the features of the longer book, but it is designed for a course in which the time available limits the number of topics covered. It is for general beginning statistics courses with a basic algebra prerequisite. The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions. This edition places more emphasis on conceptual understanding and understanding results. This edition also features increased emphasis on Excel, MINITAB, and the TI-83 and TI-84. It also features graphing calculators, and computing technologies commonly used in such courses.
Editorial Reviews
About the Author
Allan G. Bluman is Professor of Mathematics at Community College of Allegheny County, near Pittsburgh. For the McKeesport and New Kensington Campuses of Pennsylvania State University, he has taught teacher-certification and graduate education statistics courses. Prior to his college teaching, he taught mathematics at a junior high school. Professor Bluman received his B.S. from California State College in California, Penn.; his M.Ed. from the University of Pittsburgh; and, in 1971, his Ed.D., also from the University of Pittsburgh. His major field of study was mathematics education. In addition to Elementary Statistics: A Step by Step Approach, Third Edition, and Elementary Statistics: A Brief Version, the author has published several professional articles and the Modern Math Fun Book (Cuisenaire Publishing Company). He has spoken and presided at national and local mathematics conferences and has served as newsletter editor for the Pennsylvania State Mathematics Association of Two-Year Colleges. He is a member of the American Statistical Association, the National Council of Teachers of Mathematics, and the Mathematics Council of Western Pennsylvania. Al Bluman is married and has two children. His hobbies include writing, bicycling, and swimming.
I didn't want to take statistics, but of course I had to. This book was really helpful for teaching statistics which was great because my professor wasn't. I did almost all of the exercises at the end of each section and chapter, and I ended up with an A in the class. The book has great examples, and I found it cheaper on amazon than at my university bookstore.
This book was a required course material for my introductory statistics class. When I couldn't understand my class notes, I referred to this book. The author explains everything quite clearly, but any way you cut it, statistics is a dry topic.
| 677.169 | 1 |
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This easy-to-follow, clearly written book presents all the necessary mathematical skills needed to be a competent cosmetologist or manager. The logical format begins with basic math skills, applies them to cosmetology, then advances to specific topics such as measurement, time management, and business and personal finance. A perfect tool for students with little or no background
| 677.169 | 1 |
Eigenmath is a computer algebra system that facilitates the manipulation of mathematical expressions in symbolic form. For example, it can assist in solving algebra and calculus problems. It includes a great number of mathematical functions, has limited graphing capabilities and supports scripting. Think of it as portable MatLab "lite"!
Hey. It's an awesome program alright. I can check if i'm doing derivatives correctly or not. However, i'm just curious, does it do Implicit Differentiation? If it's possible can somebody show me how?
Thanks.
TTT2007-05-01 08:25
This program is awesome!!! But i don't know how to use the limit fuction (or maybe it doesn't have). 1 more thing is how to copy some text in the display screen to clipboard? Draw fuction still hasn't support 3D or configuration... And, how to how these questions to the author ?
Dominique2008-04-15 12:58
This program is very suitable for simple mathemathics (what I do, for high school level…), very much more usable than maxima for example. Just one regret : I just bougth an eee pc, and this program should be wonderful on such a machine, but there is no Linux version… When ?
me2008-06-02 11:47
For Linux, Did you try running it under Wine?
RobbM2008-09-05 04:43
How does one do squares in this calculator? Sorry if it is a dumb question
| 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for).
| 677.169 | 1 |
Well, I don't know if it might be of any help but the Schaum's Collection is a pretty good one for math books and related topics... Can't think of any specific book that could be good for you though...
So I got into school, but was told I have to quickly honme my math skills. They have given me a reading and workbook list.
Anyone have any suggestions for easy reading for refreshing your memory of calculus, functions, basic trig, basic stats and line geometry?
About 1/3 of the courses I am going to have to take are math based. (Accounting and Economics)
there was another thread on the forum about math, but I don't remember where. What I do remember was Michelle Zone posting up some great links to math sites on it though. So you may want to search for it or shoot her a PM.
I don't recall that accounting was terribly complicated past the basic operations and the occasional one variable algebra problems. Economics was a little more complicated but as I recall my classes it was more statistics based than anything. I never used calculus in either of those courses.
You might try taking a basic college math course over the summer at a local community or technical college. Even if you audit it and not take it for credit it would be useful.
Kim
"He defended the cause of the poor and needy, and so all went well. Is that not what it means to know me?"Jeremiah 22:16
When I was prepping to CLEP algebra about 16 years after my last math class, I bought some inexpensive educational software to practice with and one of those "quick and dirty" books for test prep. I found that my main issue was that I couldn't remember what all the symbols meant but as soon as I brushed up on that, I could solve most of the problems. If I recall correctly, I scored something above 80% on the CLEP.
The best solution is to just take a calculus class and make up the displaced class in some later term. It's not a big deal and should solve the skills problem pretty comprehensively - only thing is it might move a bit slowly, given that its a term long.
| 677.169 | 1 |
Principles of Inventory mathematical than some other texts in this field, with a good balance between simplicity and rigour
Has a clear, systematic exposition with detailed examples and exercises at the end of each chapter
A wellorganized textbook where each section can be read independently
Contains 50+ figures
Inventories are prevalent everywhere in the commercial world, whether it be in retail stores, manufacturing facilities, government stockpile material, Federal Reserve banks, or even your own household. This textbook examines basic mathematical techniques used to sufficiently manage inventories by using various computational methods and mathematical models. Such models discussed include: EOQ model and extensions, power-of-two models, single and multi-period models, probabilistic lot sizing models, multi-echelon stochastic models, Laplace and Normal demand models, exact Poisson model, and many more.
Principles of Inventory Management begins with an introductory chapter in which the basics of inventory systems and mathematical assumptions for all models are grouped together. The text is presented in a way such that each section can be read independently, and so the order in which the reader approaches the book can be inconsequential. It contains both deterministic and stochastic models along with algorithms that can be employed to find solutions to a variety of inventory control problems.
Key topics include:
* Economic order quantity (EOQ) model
* Power-of-two policies
* Dynamic lot sizing
* Single and multi-period stochastic models
* Echelon-based approaches
* Multi-echelon systems
* Single and multi-item models
With exercises at the end of each chapter and a clear, systematic exposition, this textbook will appeal to advanced undergraduate and first-year graduate students in operations research, industrial engineering, and quantitative MBA programs. It also serves as a reference for professionals in both industry and government worlds. The prerequisite courses include introductory optimization methods, probability theory (non-measure theoretic), and stochastic processes.
| 677.169 | 1 |
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About the book:
Mathematical reform is the driving force behind the organization and development of this new precalculus text. The use of technology, primarily graphing utilities, is assumed throughout the text. The development of each topic proceeds from the concrete to the abstract and takes full advantage of technology, wherever appropriate.
The first major objective of this book is to encourage students to investigate mathematical ideas and processes graphically and numerically, as well as algebraically. Proceeding in this way, students gain a broader, deeper, and more useful understanding of a concept or process. Even though concept development and technology are emphasized, manipulative skills are not ignored, and plenty of opportunities to practice basic skills are present. A brief look at the table of contents will reveal the importance of the function concept as a unifying theme.
The second major objective of this book is the development of a library of elementary functions, including their important properties and uses. Having this library of elementary functions as a basic working tool in their mathematical tool boxes, students will be able to move into calculus with greater confidence and understanding. In addition, a concise review of basic algebraic concepts is included in Appendix A for easy reference, or systematic review. The third major objective of this book is to give the student substantialexperience in solving and modeling real world problems. Enough applications are included to convince even the most skeptical student that mathematics is really useful. Most of the applications are simplified versions of actual real-world problems taken from professional journals and professional books. No specialized experience is required to solve any of the applications. Good. Shows some signs of wear, and may have some markings on the inside. Shipped to over one million happy customers. Your purchase benefits world literacy!
Hardcover, ISBN 0070057176 Publisher: McGraw-Hill Science/Engineering/Math Good, Usually ships in 1-2 business days, This Book is in Good Condition. Used Copy With Light Amount of Wear. 100% Guaranteed.
| 677.169 | 1 |
Synopsis
Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course.
Product Info
Cambridge University Press, September 2011
ISBN:
9781139181167
Language:
English
Download options:
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| 677.169 | 1 |
textbook "Principles of Mathematical Economics" was written for both undergraduate students in economics, and related fields, such as business, and MA or MS level graduate students
Given the length of the text, almost 530 pages, including solutions to exercises was not feasible. Hence, a separate solutions manual was prepared, providing step-by-step solutions to a large number of exercises, an important feature of the text, that appear at the end of many sections of the book
This facilitates the work of students and instructors who adopt the text
A large number of new unsolved exercises are also added to each chapter
This manual provides solutions to approximately 500 problems appeared in various chapters of the text Principles of Mathematical Economics. In some cases, a detailed solution with the additional discussion is provided. At the end of each chapter, new sets of exercises are given.
Table of contents
Household Expenditure.- Variables, a Short Taxonomy.- Sets and Functions.- Market Equilibrium Model.- Rates of Change and the Derivative.- Optimal Level of Output and Long Run Price.- Nonlinear Models.- Additional Topics in Perfect and Imperfect Competition.- Logarithmic and Exponential Functions.- Production Function, Least-Cost Combination of Resources, and Profit Maximizing Level of Output.- Economics Dynamics.- Mathematics of Interest Rates and Finance.- Matrices and Their Applications.
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Buy ePub
This book and its accompanying Teacher's Pack are the result of a project, supported by the Nuffield Foundation, to provide flexible learning materials for the Basic Application of Number core skill for both the NVQs and GNVQ in construction and the construction crafts. The student book uses a unique approach to explain how mathematical principles apply to construction tasks. Each chapter forms an individual construction project and uses the full range of number skills from the fundamentals of addition and subtraction to statistics, trigonometry and technical drawing. Successfully completed projects provide the student with the required portfolio of evidence for their course. Notes throughout the text refer the student to the relevant module in the Teacher's Pack, which contains assessments, tests and detailed explanations of the number skills needed to complete the projects.
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Without being able to read Finnish, it looks like what they wrote might be equivalent to source code for slides to use in lecture, or bare bones Wikipedia entries on high school math topics. Obviously not a complete text book, and I'm pretty sure it's the easiest part. Example problems work through in detail, practice problems throughout the chapter, and a collection of practice problems with answers available and others with a teacher's key… these are most of what most students will use in a math text. And they have to be chosen carefully to be representative and of appropriate difficulty, carefully laid out, and painstakingly proof read or they'll be worse than useless.
Having worked for a small educational publisher I agree — a textbook is more than a couple lines explaining a concept. It takes thousands of hours per grade to create complete worked examples (having full step by step solutions that explain the problem solving process), mathML equations, graphics including charts/graphs/diagrams and practice questions — lots and lots of practice questions will full solutions so students can practice what they are learning.
Then it takes a tremendous amount of time, particularly in mathematics, to edit the whole book. Every mathML equation and every question needs to be examined and the questions solved independently of the solution to ensure they are accurate.
Then, finally if you are publishing in XML you need to have a technical person go through the document to ensure that it is valid, well-formed and will render properly.
One math concept would take, on average 0.5 days of effort for a team of 5 people (2 writers, 1 graphic artist, 1 editor and 1 technical XML person). An average math course in the US is 1/5th of 180 days of instruction which equals about 216 instructional hours. A math textbook will have about 100 concepts to present in those 216 hours which means it will take 5 people 50 days (almost 3 months) to write a single text book.
A handful of teachers cannot possibly write a high quality, curriculum aligned and comprehensive resource in a weekend. It just is not possible.
When I was in college, it was widely told that our calculus professor had written the textbook in two weeks, on a bet. And it might as well have been in finnish. So this one will be better if only on price.
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Sage Feature Tour
Sage
is built out of nearly
100 open-source packages and features a unified
interface.
Sage can be used to study elementary and advanced, pure
and applied mathematics. This includes a huge range of mathematics,
including basic algebra, calculus, elementary to very advanced number
theory, cryptography, numerical computation, commutative algebra,
group theory, combinatorics, graph theory, exact linear algebra and
much more.
It combines
various software packages
and seamlessly
integrates their functionality into a common experience. It is
well-suited
for education and research.
The user interface is a
notebook in a web browser or the command line. Using the notebook,
Sage connects either locally to your own Sage installation or to a
Sage server on the network. Inside the Sage notebook you can create
embedded graphics, beautifully typeset mathematical expressions, add
and delete input, and share your work across the network.
The following showcase presents some of Sage's capabilities, screenshots and gives you an
overall impression of what Sage is. The examples show the lines of code in Sage on the left side,
accompanied by an explanation on the right. They only show the very basic concepts of how Sage
works. Please refer to the documentation material for more detailed
explanations or visit the library to see Sage in action.
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Precalculus: Mathematics for Calculus
9780840068071
ISBN:
0840068077
Edition: 6 Pub Date: 2011 Publisher: Brooks Cole
Summary: Designed to give students a background in mathematics theory and introduce them to mathematics concepts this textbook is comprehensive without being daunting. Students are introduced to modelling and problem solving and they are given a rigorous workout on what they have learned as they work through the book. It has many graphs that chart mathematical ideas that students can assimilate with ease. It is written in a c...lear and readable style that will aid comprehension and enjoyment. This is just one of the many cheap math textbooks we have available for students to acquire in great condition.
Stewart, James is the author of Precalculus: Mathematics for Calculus, published 2011 under ISBN 9780840068071 and 0840068077. Four hundred ninety seven Precalculus: Mathematics for Calculus textbooks are available for sale on ValoreBooks.com, one hundred twenty six used from the cheapest price of $63.95, or buy new starting at $139.17What would make this book better is if the examples given in the chapter corresponded better with the homework problems. I understand that answers can't just be given away, but sometimes they throw a curveball and it's tough to figure out how to go about solving the problem.
The primary subject of this book is precalculus. It was very effective, there are plenty of examples and the explanations are simple.
The book itself was least useful to me the only reason I had to buy the book was to do online tests with the access code. These codes are unfair to the student, because they make getting your money back on books that are not even used except for one code nearly impossible.
Precalculus, required that I "use" this book even though the book was never actually used only one page was ever opened in this book, and that page was to get the UNFAIR online code.
This book did a very good job of explaining concepts step by step. Compared to other math textbooks, this one was actually easy to follow, the problems and examples were similar and flowed in a logical way.
I learned about vectors, conic equations,trigonometry and various functions from this book.
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A mathematical prelude to the philosophy of mathematics
.再读一些...
摘要:
This book draws readers into the philosophy of mathematics by having them do mathematics. Coverage includes primitive recursive arithmetic, Godel's theorems, the hierarchy of sets, Frege arithmetic and intuitionist sentential logic. Includes 298 exercises.再读一些...
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社评
出版商概要
From the book reviews: "The aim of the book is to give students opportunities to recreate some mathematics that will illuminate important readings in the philosophy of mathematics. ... The book contains 298 exercises in the mentioned areas supported by explanatory materials. Each chapter ends by solutions of odd-numbered exercises as well as references. ... The book can serve as a supplement to primary texts chosen by instructors." (Roman Murawski, zbMATH, Vol. 1294, 2014)再读一些...
"."@en
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The Heart of Mathematics: An Invitation to Effective Thinking, Manipulative Kit, 3rd mathematics fun and satisfying for everyoneMath can be a living source of powerful ideas that transcend mathematics; a window into mind-opening philosophical concepts such as infinity, fourth dimensions, chaos, and fractals; and a practical training ground for developing skills in analysis, reasoning, and thought-if you have the right approach and the right guide.The Heart of Mathematics: An Invitation to Effective Thinking--now in its third edition-transforms mathematics into an engaging, relevant experience even for the most math-phobic student. Infusing this book with humor and enthusiasm, Edward B. Burger and Michael Starbird-both recipients of the Mathematical Association of America's foremost national teaching award and countless state, regional, and campus-wide teaching honors-introduce students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.Richer and more rewarding than ever, this new edition features: An emphasis on mathematical methods of investigation Visualization techniques that make key concepts easier to understand Accessible, friendly writing style that encourages critical thinking "Life Lessons"-effective methods of thinking that students will retain and apply beyond the classroom End of section Mindscape activities for the development of application, problem-solving, and argumentation skills
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A Handbook of Real Variables
With Applications to Differential Equations and Fourier Analysis
Krantz, Steven G.
2004, XIII, 201 subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass. Real analysis grew up as a way to make the calculus rigorous. Today the two subjects are intertwined in most people's minds. Yet calculus is only the first step of a long journey, and real analysis is one of the first great triumphs along that road. In real analysis we learn the rigorous theories of sequences and series, and the profound new insights that these tools make possible. We learn of the completeness of the real number system, and how this property makes the real numbers the natural set of limit points for the rational numbers. We learn of compact sets and uniform convergence. The great classical examples, such as the Weierstrass nowhere-differentiable function and the Cantor set, are part of the bedrock of the subject. Of course complete and rigorous treatments of the derivative and the integral are essential parts of this process. The Weierstrass approximation theorem, the Riemann integral, the Cauchy property for sequences, and many other deep ideas round out the picture of a powerful set of tools.
Table of contents
Preface * Basics * Sequences * Series * The Topology of the Real Line * Limits and the Continuity of Functions * The Derivative * The Integral * Sequences and Series of Functions * Some Special Functions * Advanced Topics * Differential Equations * Glossary of Terms from Real Variable Theory * List of Notation * A Guide to the Literature * Bibliography * Index
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More About
This Textbook
Overview
Renowned professor and author Gilbert Strang demonstrates that linear algebra is a fascinating subject by showing both its beauty and value. While the mathematics is there, the effort is not all concentrated on proofs. Strang's emphasis is on understanding. He explains concepts, rather than deduces. This book is written in an informal and personal style and teaches real mathematics. The gears change in Chapter 2 as students reach the introduction of vector spaces. Throughout the book, the theory is motivated and reinforced by genuine applications, allowing pure mathematicians to teach applied mathematics.
Product Details
Meet the Author
Gilbert Strang is Professor of Mathematics at the Massachusetts Institute of Technology and an Honorary Fellow of Balliol College. He was an undergraduate at MIT and a Rhodes Scholar at Oxford. His doctorate was from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. Professor Strang has published a monograph with George Fix, "An Analysis of the Finite Element Method", and has authored six widely used textbooks. He served as President of SIAM during 1999 and 2000 and he is Chair of the U.S. National Committee on Mathematics for 2003-2004 12, 2006
Outstanding
I never had a problem solving systems of linear equations, but the advanced concepts never made sense to me. Strang's method of describing vector spaces, eigenvalues and eigenvectors trumps any other text on linear algebra I have read. Examples are useful.
Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged.
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More About
This Textbook
Overview
One of the greatest mathematicians in the world, Michael Atiyah has earned numerous honors, including a Fields Medal, the mathematical equivalent of the Nobel Prize. While the focus of his work has been in the areas of algebraic geometry and topology, he has also participated in research with theoretical physicists. For the first time, these volumes bring together Atiyah's collected papers--both monographs and collaborative works-- including those dealing with mathematical education and current topics of research such as K-theory and gauge theory. The volumes are organized thematically. They will be of great interest to research mathematicians, theoretical physicists, and graduate students in these areas.
Related Subjects
Table of Contents
PART I: Early Papers
1. A Note on the Tangents of a Twisted Cubic
2. Complex Fibre Bundles and Ruled Surfaces
3. Formes de Seconde Espèce sur une Variété Algebrique
4. Integrals of the Second Kind on an Algebraic Variety
5. On the Krull-Schmidt Theorem with Application to Sheaves
6. Complex Analytic Connections in Fibre Bundles
7. Vector Bundles Over an Elliptic Curve
8. On Analytic Surfaces with Double Points
9. Some Examples of Complex Manifolds PART II: General Papers
10. The Role of Algebraic Topology in Mathematics
11. Wandel und Fortschritt in der Mathematik
12. How Research is Carried Out
13. Global Geometry
14. William Vallance Douglas Hodge 1903-1975
15. Singularities of Functions
16. Trends in Pure Mathematics
17. The Unity of Mathematics
18. What is Geometry?
19. An Interview with Michael Atiyah
20. Speech on Conferment of Feltrinelli Prize
21. Geometry and Analysis in the 1980s
22. Mathematics and the Computer Revolution
23. Identifying Progress in Mathematics
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Math.NET aims to provide a self contained clean framework for symbolic mathematical (Computer Algebra System) and numerical/scientific computations, including a parser and support for linear algebra, complex differential analysis, system solving and more
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College algebra
Good old school text
If you want a college algebra or advanced algebra 2 text with no fancy colored pictures, "what have you learned" reviews, and wasted wide blank margins, just lots of meaty material and TONS
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Franklin, MA TrigonometryBernieAlgebra is really about formalizing mathematics into a coherent way of reading & writing it so it can be used to solve problems. Typically, algebra includes learning about the different kinds of numbers, learning how to write expressions and equations, and then learning to solve those equations. It's also when the infamous "word problem" gets introduced.
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This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains... more...
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradov┤s estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered... more... The appendices include a selection of... more...
Prime numbers beckon to the beginner, the basic notion of primality being accessible to a child. This book concentrates on the computational aspects of prime numbers, such as recognizing primes and discovering the fundamental prime factors of a given number. It includes over 100 explicit algorithms cast in detailed pseudocode. more...
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Miami Precalculus
...Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in discrete steps and store data in discrete bits. Concepts and notations from discrete mathematics are useful in studying and describing object...
...I also strongly believe that learning Math and Sciences is of the upmost importance for developing an analytical mind and collectively for advancing a strong and prosper nation. Given the opportunity, I am sure that we, together, could break through your fears and liberate your natural curiosity...
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MATH43012/63012 Computation and Complexity (2014-15 presentation)
Overview
Quite a lot of the mathematics you have studied so far involves using algorithms to solve computational problems. For example, you have probably used Euclid's algorithm to solve the problem of finding the greatest common divisor of two integers. In this course, we abstract a level further, and study the properties of problems and algorithms themselves. The kind of questions we ask are "is there an algorithm to solve every problem?" and "what problems can be solved by an efficient algorithm?".
Compared with most of mathematics, this area is in its infancy, and many important things remain unknown. The course will take you to the point where you understand the statement of one of the most important open questions in mathematics and computer science: the "P vs NP" problem, for which the Clay Mathematics Foundation is offering a $1,000,000 prize. And who knows, perhaps one day you will be the one to solve it!
Suitability
The course has minimal formal prerequisites, and is taken by quite a range of students:
Third and fourth year MMath and MSc students are the
main target audience and are very welcome.
Mathematics PhD students
are also welcome and can count the course towards their taught course requirements.
Third year BSc Mathematics students may take the
course with the permission of the Senior Tutor; it doesn't rely on any
advanced courses but requires a degree of mathematical maturity.
Students from other schools are welcome
to attend on an informal (non-examined) basis; if you want to take the
course for credit you should
speak to me before registering.
Course Materials
Notes and exercises will also be given out in lectures, but are provided here in case you prefer to
have an electronic copy. Please let me know if you need them in a different
format because of a disability.
Lecture Times
This is a little complicated, because of a training course I am taking
myself during the semester. We have 4 hours timetabled each week,
to be used flexibly for lectures and tutorials....
Tuesday 11:00-12:00 in Roscoe 3.4
Wednesday 11:00-12:00 in Devonshire G7 (before Easter) and University Place 5.211 (after Easter)
Friday 09:00-11:00 (with a short break in the middle) in Alan Turing G.205
....but some hours will not be used in some weeks.
Every Monday I'll send an email indicating which slots will be used
that week for lectures and tutorials. In case it helps to know
further in advance, here's a provisional list of which slots will be used:
Week 1: All slots
Week 2: Tuesday and Wednesday only
Week 3: All slots
Week 4: Tuesday and Wednesday only
Week 5: All slots
Week 6: Tuesday and Friday only
Week 7: All slots
Week 8: All slots
EASTER BREAK
Week 9: Tuesday and Wednesday only
Week 10: All slots
Week 11: All slots
Week 12: If all goes to plan, revision class on Tuesday, then no further lectures.
My office hour in Semester 2 of 2014-15 is generally 12:00ish-13:00 on
Tuesdays
in room 2.144 in the Alan Turing Building. (The "ish" is because I have a lecture immediately
beforehand, and will start my office hour at the lecture room: in other words, I'll deal with brief queries from students on the
course before going to my office.)
Any exceptions
will be announced here. If you are unable to come to my office hour then please feel free to email me for an
appointment (or just ask a question by email).
Further Links
This page is maintained by Mark Kambites.
It was retrieved on 27th January 2015.
The text was last manually edited on 20th January 2015 but dynamically
generated content may have changed more recently. Opinions expressed are those of the author and do not necessarily reflect policy of the University of Manchester or any other organisation.
Information is correct to the best of the author's knowledge but is provided without warranty.
All content is protected by copyright, and may not be reproduced or further distributed without permission.
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Essentials of College Algebra - 06 edition
Summary: This new text from the author team of Aufmann and Nation offers the same engaging style and support for students as the Aufmann College Algebra series, all in a brief format that covers the entire course in a single semester. Interactive learning techniques incorporated throughout the text help students better understand concepts, focus their study habits, and achieve greater success.
In this First Edition, the authors have also integrated many components i...show morento the textbook to help students diagnose and remediate weak algebra skills. Prerequisite review in the textbook and supporting materials allows students to fill in gaps in their mathematical knowledge, and keeps instructors from having to spend time on review. Review Notes next to examples and Prepare for the Next Section exercises provide point-of-use review. Extra support also comes from the Aufmann Interactive Method, featuring Try Exercises that allow students to practice math as it is presented and to more easily study for tests.
Prepare for the Next Section Exercises appear at the end of exercises and are specifically written to review prerequisite skills the student will need in the next section. Answers at the end of the text and a reference section help students review if they get a wrong answer.
Review Notes cover prerequisite skills to help students without the necessary knowledge to understand important concepts. These example-specific notes direct students to the appropriate pages where they can practice and review the skill, thus decreasing frustration and increasing success.
Interactive Reading Support Questions engage students in learning mathematics and encourage them to think critically.
Visualize the Solution graphics are often paired with Algebraic Solutions to assist visual learners in understanding concepts.
Focus on Problem Solving features at the beginning of each chapter review then demonstrate various strategies used by successful problem solvers. This builds students' comfort level with problem solving and leaves them with a collection of tips and strategies to refer to throughout the course.
Hardcover Good 061848096136.52 +$3.99 s/h
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Journal of Online Mathematics and its Applications offers articles, learning modules, "mathlets" (single-purpose learning tools), reviews of online resources, and a developers' area. Search contents of the journal by type of resource (e.g., article), by subject (e.g., number concepts, data presentation, plane geometry), or both. The journal makes extensive use of graphics, animations, video clips, and other media. Articles and other materials are peer reviewed.
Classroom Capsules is on-line version of part of The College Mathematics Journal. The purpose of the capsules is to make easily available, by web search, short mathematical articles, which can give a student new mathematical insights, and instructors effective teaching strategies. The articles might represent a nice application, an unusual point of view or example, or they might give the instructor a non-standard way of presenting the topic in class.
MathDL Mathematical Communication is a collection of instructional strategies, materials, and references for having students write and speak about mathematics, whether for the purpose of learning mathematics or learning to communicate as mathematicians.
Course Communities in Undergraduate Mathematics (or Course Communities for short) contains a new collection of online resource recommendations. So far we have listed over 340 resources: PDF files, applets, videos, and other formats.
The following types of materials will appear in Loci:
Articles
Modules: innovative, class-tested, web-based learning materials that can be used for guided explorations of particular topics in mathematics
Should math educations be separated into the two tracks? Math education is either practical or abstract. One is useful in everyday life and the other is essential for science, engineering or math investigation.
Discussion Question(s)
1.
How can we communicate about math to reduce math anxiety?
2.
How do we learn to communicate math effectively, in writing or orally?
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Introductory Algebra-Text - 8th edition
Summary: Lial/Hornsby/McGinnis's Introductory Algebra, 8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includesan effective new design, many new exe...show morercises and applications, and increased Summary Exercises to enhance comprehension and challenge students' knowledge of the subject matter. ...show less
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158.00
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Summary
Gary Rockswold focuses on teaching algebra in context, answering the question, "Why am I learning this?" and ultimately motivating the reader to succeed. Introduction to Functions and Graphs. Linear Functions and Equations. Quadratic Functions and Equations. Nonlinear Functions and Equations. Exponential and Logarithmic Functions. Systems of Equations and Inequalities. Conic Sections. Further Topics in Algebra. Basic Concepts From Algebra and Geometry. For all readers interested in college algebra.
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Product Details
The book is flexible enough to be a source of enrichment material, a basis for research projects, the kernel of a capstone course, or just a tool to ignite the interest of the mathematically curious.
--Bill Satzer, MAA Reviews
This book provides an informative, student-centered approach to several diverse applications of complex variables....The book would serve nicely for a senior undergraduate capstone course.--CHOICE
This book is written for mathematics students who have encountered basic complex analysis and want to explore more advanced project and/or research topics. It could be used as (a) a supplement for a standard undergraduate complex analysis course, allowing students in groups or as individuals to explore advanced topics, (b) a project resource for a senior capstone course for mathematics majors, (c) a guide for an advanced student or a small group of students to independently choose and explore an undergraduate research topic, or (d) a portal for the mathematically curious, a hands-on introduction to the beauties of complex analysis. Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation. There are more than 15 Java applets that allow students to explore the research topics without the need for purchasing additional software.
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This book is specially designed for students interested in participating in the Mathematics Olympiad, but even those who just have a casual interest in Mathematics will find the questions here... More > intriguing and challenging. The questions in the book are arranged according to topic, and the detailed solutions and workings can be found at the back of the volume. We sincerely hope that by doing the questions in this book, students will understand and grasp the fundamental techniques required for critical Mathematical thinkingMath Mammoth Ratios & Proportions & Problem Solving is a worktext that concentrates, first of all, on two important concepts: ratios and proportions, and then on problem solving.
My aim is to... More > provide students with a thorough understanding of ratios and proportions, not only because that is the norm for 6th grade, but also because they are used so much in everyday-life applications, and because they are a natural extension to go to after the student understands the basics of fractions
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GeoGebra is a dynamic mathematics software for education in secondary schools that joins geometry, algebra and calculus. On...
see more
GeoGebra is a dynamic mathematics software for education in secondary schools that joins geometry, algebra and calculus. On the one hand, GeoGebra is a dynamic geometry system. You can do constructions with points, vectors, segments, lines, conic sections as well as functions and change them dynamically afterwards.On the other hand, equations and coordinates can be entered directly. Thus, GeoGebra has the ability to deal with variables for numbers, vectors and points, finds derivatives and integrals of functions and offers commands like Root or Extremum.The GeoGebraWiki is a free pool of educational materials for GeoGebra. Everyone can contribute and upload materials there: International GeoGebraWiki - pool of educational materials for GeoGebra and the German GeoGebraWiki The Dynamic Worksheets GeoGebra can also be used to create dynamic worksheets:Pythagorasvisualisation of Pythagoras' theoremLadder against the Wallapplication of Pythagoras' theorem Circle and its Equationconnection between a circle's center, radius and equation Slope and Derivative of a Function (3 sheets)relation between slope, derivative and local extrema of a functionDerivative of a Polynomial interactive exercise to practice finding the derivative of a cubic polynomialUpper- and Lower Sums of a Functionvisualisation of the backgrounds of Riemann's Integral
"German for Music Lovers" is a collection of language-learning resources for students, teachers and anyone who...
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"German for Music Lovers" is a collection of language-learning resources for students, teachers and anyone who loves music. Ranging in style from classical to hiphop, from rock to rap, each song is furnished with a German/English vocabulary and supplemented with interesting links.
German History in Documents and Images (GHDI) is a comprehensive collection of primary source materials documenting Germany's...
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German History in Documents and Images (GHDI) is a comprehensive collection of primary source materials documenting Germany's political, social, and cultural history from 1500 to the present. It comprises original German texts, all of which are accompanied by new English translations, and a wide range of visual imagery. The materials are presented in ten sections, which have been compiled by leading scholars. All of the materials can be downloaded free of charge for teaching, research, and related purposes; the site is strictly intended for individual, non-commercial use.
In this workshop you will study principles of pedagogy and instructional design and apply these theories to one of your...
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In this workshop you will study principles of pedagogy and instructional design and apply these theories to one of your lessons. There are seven Topics in this course. Each Topic is made up of four parts: Warm-up, Class Notes, Assignment, and Discussion. There are many teaching tips, examples, and resources. Although a bit dated & containing some broken links, still very valuable.
These interactive & informative modules in multimedia format provide an excellent introduction to instructional design,...
see more
These interactive & informative modules in multimedia format provide an excellent introduction to instructional design, in particular, and eLearning in general. They are replete with concrete & practical examples. They also happen to summarize the main points covered in each chapter of The Power of eLearning: The Essential Guide for Teaching in the Digital Age which was written by the author. The modules are valuable faculty development lessons in their own right. Most importantly they focus first on the fundamentals of teaching and learning—that is, on pedagogical principles—rather than on eLearning technology. For a balanced review of the book see
In this section you will be able to interactively learn more about sound. You can learn at your own pace on this page. This...
see more
In this section you will be able to interactively learn more about sound. You can learn at your own pace on this page. This section is meant to be a fun learning experience by letting you see and hear sound in action.With the Wave Applet, for example, you can look at different types of waves and make you own. You can compare the design of the wave with what you are hearing.
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Can you tell us exactly what your background is? Have you had calculus? How much?
–
GraphthMar 28 '12 at 13:01
I liked Feller's book An Introduction to Probability Theory and Its Applications, and it is highly recommended by many other people also. You might also want to pick up the Schaum's Outline Series volume on probability. I was looking it over a few weeks ago and it seemed reasonable; it is also very inexpensive. You probably want the Probability and Statistics one, not the Probability, Random Variables, and Random Processes one.
–
MJDMar 28 '12 at 13:09
1 Answer
1
I would like to suggest a book that we used for a first semester course in probability.
The book "Introduction to Probability Theory" written by Paul G. Hoel, Sidney C. Port and Charles J. Stone is a well-written book on probability theory. There are a lot of exercises that gear you through. If an exercise is a bit hard, they also leave a hint for the reader. (Amazon Link)
Prerequisites: (Suggested by the authors in the preface.)
Elementary Calculus that includes multiple integration.
I would also suggest that one has an elementary knowledge of counting. This would help cover a few sections in Chapter-1 rapidly. It emphasizes the more important concepts, while striking a delicate balance between mentioning those results that require sophisticated machinery to prove and those easy to prove while not very important.
One good thing about the book, it mentions some results whose proof requires measure theory, without omitting them. Exercises are carefully chose and well-organised through the text.
Hope you enjoy reading it. (And, you may find some good places to look without having to buy. I'll stop here in this regard.)
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This book presents the fundamental principles of mechanics tore-establish the equations of Discrete Mechanics. It introducesphysics and thermodynamics associated to the physicalmodeling. The development and the complementarity of scienceslead to review today the old concepts that were the basis for thedevelopment of continuum mechanics. The differential... more...
This book is about the pattern formation and the evolution of crack propagation in engineering materials and structures, bridging mathematical analyses of cracks based on singular integral equations, to computational simulation of engineering design. The first two parts of this book focus on elasticity and fracture and provide the basis for discussions... more...
Using an engaging question-and-answer format this book contains practical, everyday problems with real world situations. A wonderful book for helping kids of all ages discover the fascinating world of math. more...
This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern... more...
In his monumental 1687 work Philosophiae Naturalis Principia Mathematica , known familiarly as the Principia , Isaac Newton laid out in mathematical terms the principles of time, force, and motion that have guided the development of modern physical science. Even after more than three centuries and the revolutions of Einsteinian relativity and quantum... more...
The essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic... more...
A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects,... more...
Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume... more...
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Mathematics for Physics
9780199289295
ISBN:
0199289298
Pub Date: 2007 Publisher: Oxford University Press, Incorporated
Summary: Mathematics is the essential language of science. It enables us to describe abstract physical concepts, and to apply these concepts in practical ways. Yet mathematical skills and concepts are an aspect of physics that many students fear the most. Mathematics for Physics recognizes the challenges faced by students in equipping themselves with the maths skills necessary to gain a full understanding of physics. Working ...from basic yet fundamental principles, the book builds the students' confidence by leading them through the subject in a steady, progressive way. As its primary aim, Mathematics for Physics shows the relevance of mathematics to the study of physics. Its unique approach demonstrates the application of mathematical concepts alongside the development of the mathematical theory. This stimulating and motivating approach helps students to master the maths and see its application in the context of physics in one seamless learning experience. Mathematics is a subject mastered most readily through active learning. Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding. Mathematics for Physics is the perfect introduction to the essential mathematical concepts which all physics students should master.
Woolfson, Michael M. is the author of Mathematics for Physics, published 2007 under ISBN 9780199289295 and 0199289298. Sixteen Mathematics for Physics textbooks are available for sale on ValoreBooks.com, six used from the cheapest price of $36.10, or buy new starting at $63.10.[read more
| 677.169 | 1 |
Oftentimes, when it comes to math, some people struggle with the concepts, finding it too difficult. But follow these few steps and Math will be easy in every class.
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Steps
1
Master Your Basics: The number one reason that people struggle in math class is because their basics and their fundamentals are not fully developed. Algebra and Geometry are the building blocks for the more advanced math later on (Calculus, Differential Equations, etc...).
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2
Get Ahead: Most schools give you a textbook for math and it's a pretty big book. What you can do is, study ahead. Whenever you have time, you can look a section ahead, and be prepared for tomorrow's material.
3
Self-Study: This is the most efficient way of studying math. I would recommend you to buy math textbooks from a local bookstore. You can also search on the internet for great math books.Don't get a book that is very short (100 pages) for a topic like Geometry. Get a textbook or a few workbooks on the topic. It's good to buy more than one book, since some books leave out certain things.
4
Studying: When you self-study, it's good to have the book and a notebook with you, college ruled preferably. Write down all the vocabulary and terms and the example problems. You don't have to do each and every single practice problem if you find it repetitive, just have an intuitive answer. (As long as you know the process of solving it) It's also good to get into a habit of working on more Word Problems, which can help you apply the concept into real-life situations.
5
Competition: If you do enough self-studying, and you look through your studying notes when you have free time, you should already have a very good basis in math. If you're a fast learner, then it would be even better since you can learn the higher level concepts quicker. If your school has a math club or team that you can join, go for it! Chances are, you'll meet individuals who are very talented in math and can help you expand your knowledge by attending competitions.
6
Loving Math: Once you do this part, math would be no challenge whatsoever. Once you get good in math, help others, it's okay to show off you knowledge, in a good way. Once you start to take interest in math and start studying it and attend math competitions and expand your knowledge on math, you will love it. Once you have a passion for math, you will want to learn more, achieve more, and become the mathematician you've never imagined.
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| 677.169 | 1 |
Linear Algebra
9780135367971
ISBN:
0135367972
Edition: 2 Pub Date: 1971 Publisher: Prentice Hall
Summary: This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems. Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra. ...> Hoffman, Kenneth is the author of Linear Algebra, published 1971 under ISBN 9780135367971 and 0135367972. Five hundred five Linear Algebra textbooks are available for sale on ValoreBooks.com, eleven used from the cheapest price of $61.50, or buy new starting at $174.97
| 677.169 | 1 |
Al provides enough detail to ensure that the only prerequisite is basic knowledge of algebra
The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra.
The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic applications to number theory, ring extensions and algebraic geometry.
The main focus of the second volume is on additional structure of fields and related topics. Much material not usually covered in textbooks appears here, including real fields and quadratic forms, the Tsen rank of a field, the calculus of Witt vectors, the Schur group of a field, and local class field theory.
Both volumes contain numerous exercises and can be used as a textbook for advanced undergraduate students.
From Reviews of the German version:
This is a charming textbook, introducing the reader to the classical parts of algebra. The exposition is admirably clear and lucidly written with only minimal prerequisites from linear algebra. The new concepts are, at least in the first part of the book, defined in the
Table of contents
Ordered Fields and Real Fields.- Hilbert's Seventeenth Problem and the Real Nullstellensatz.- Orders and Quadratic Forms.- Absolute Values on Fields.- Residue Class Degree and Ramification Index.- Local Fields.- Witt Vectors.- The Tsen Rank of a Field.- Fundamentals of Modules.- Wedderburn Theory.- Crossed Products.- The Brauer Group of a Local Field.- Local Class Field Theory.- Semisimple Representations of Finite Groups.- The Schur Group of a Field.
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A reader-friendly introduction to modern algebra with important examples from various areas of mathematics Featuring a clear and concise approach , An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a central role in various branches of mathematics.... more...
| 677.169 | 1 |
Applied Math
Applied Mathematics is a rich field that incorporates theoretical mathematics with many other fields. In our applied math program, you can choose courses from one of the following disciplines and obtain skills so forth.
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Hey peeps,I was wondering if someone could explain polynomial lesson middle school struggling students? I have a major project to complete in a couple of weeks and for that I need a good understanding of problem solving in topics such as equivalent fractions, conversion of units and radical expressions. I can't start my assignment until I have a clear understanding of polynomial lesson middle school struggling students since most of the calculations involved will be directly related to it in one way or the other. I have a question set , which if someone can help me solve, would help me a lot.
You seem to be facing a similar problem that I had some time back. I too thought of hiring a paid help to work it out for me. But they are so expensive that I just could not afford one. So I turned to the internet and found so many programs that can help with algebra assignments on binomials, linear equations or scientific notation. After some research I found that Algebrator is the best of the lot. I haven't found a math assignment that I can't get done through Algebrator. It is absolutely amazing. Best part is, the software gives you a detailed explanation on how to do it yourself. So you actually learn how to work it out yourself. Isn't it cool?
I didn't know that Algebrator software yet but I heard from my friends that it really does help in answering algebra problems. Since then, I noticed that my friends don't really have a hard time answering some of the problems in class. It might really have been efficient in improving their solving skills in algebra. I can't wait to use it someday because I believe it can be very useful and help me have a good grade in algebra.
| 677.169 | 1 |
Shipping prices may be approximate. Please verify cost before checkout.
About the book:
This book, the first of a two-volume basic introduction to enumerative combinatorics, concentrates on the theory and application of generating functions, a fundamental tool in enumerative combinatorics. Richard Stanley covers those parts of enumerative combinatorics with the greatest applications to other areas of mathematics. The four chapters are devoted to an accessible introduction to enumeration, sieve methods--including the Principle of Inclusion-Exclusion, partially ordered sets, and rational generating functions. A large number of exercises, almost all with solutions, augment the text and provide entry into many areas not covered directly. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.
Hardcover, ISBN 0521553091mathbooks314 via United States
Hardcover, ISBN 0521553091 Publisher: Cambridge University Press, 1997 Very Good. Good condition! Inside is like new. Cover has a small bend and a few light scratches.. This book is paperback, NOT hardcover!
Hardcover, ISBN 0521553091 Publisher: Cambridge University Press, 1997 TEXT ONLY. NO ACCESS CODE. Used texts with varying degrees of highlighting and wear. Email for details. Could be a former library book.
Hardcover, ISBN 0521553091 Publisher: Cambridge University Press, 1997 Used - Good Good . TEXT ONLY. NO ACCESS CODE. Used texts with varying degrees of highlighting and wear. Email for details. Could be a former library book.
Hardcover, ISBN 0521553091 Publisher: Cambridge University Press, 1997 Used - Very Good, Usually dispatched within 1-2 business days, In excellent overall used condition, hardly any wear. Ships from UK.
| 677.169 | 1 |
Foundations of Mathematical Analysis
Ponnusamy, Saminathan
2012, XV, 570p. 205Questions and Exercises" are provided at the end of each section, covering a broad spectrum of content and various levels of difficulty, and hints are provided for selected exercises
Some of the exercises are routine in nature while others are interesting, instructive, and challenging
Covers a broad spectrum of content with a range of difficulty that would enable students to learn techniques and standard analysis tools
Introduces convergence, continuity, differentiability, the Riemann integral, power series, uniform convergence of sequences and series of functions, and so on Examines various important applications throughout the book and uses MATHEMATICA and MAPLE to demonstrate various uses of the Fourier series
Mathematical analysis is fundamental to the undergraduate curriculum not only because it is the stepping stone for the study of advanced analysis, but also because of its applications to other branches of mathematics, physics, and engineering at both the undergraduate and graduate levels.
This self-contained textbook consists of eleven chapters, which are further divided into sections and subsections. Each section includes a careful selection of special topics covered that will serve to illustrate the scope and power of various methods in real analysis. The exposition is developed with thorough explanations, motivating examples, and illustrations conveying geometric intuition in a pleasant and informal style to help readers grasp difficult concepts.
Key features include:
* "Questions and Exercises" are provided at the end of each section, covering a broad spectrum of content with various levels of difficulty;
* Some of the exercises are routine in nature while others are interesting, instructive, and challenging with hints provided for selected exercises;
* Covers a broad spectrum of content with a range of difficulty that will enable students to learn techniques and standard analysis tools;
* Introduces convergence, continuity, differentiability, the Riemann integral, power series, uniform convergence of sequences and series of functions, among other topics;
* Examines various important applications throughout the book;
* Figures throughout the book to demonstrate ideas and concepts are drawn using Mathematica.
Foundations of Mathematical Analysis is intended for undergraduate students and beginning graduate students interested in a fundamental introduction to the subject. It may be used in the classroom or as a self-study guide without any required prerequisites.
| 677.169 | 1 |
A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts. more...
A valuable overview of the most important ideas and results in statistical analysis Written by a highly-experienced author, Foundations of Linear and Generalized Linear Models is a clear and comprehensive guide to the key concepts and results of linear statistical models. The book presents a broad, in-depth overview of the most commonly used statistical... more...
This book features the complete set of answers to the exercises in Mathematics Year 6, to save you time marking work and enable you to identify areas requiring further attention. The book includes diagrams and working where necessary, to ensure pupils understand how to present their answers. Also available from Galore Park :. - - Plenty of worked examples to demonstrate method. - Develops key skills with clear explanations and... more...
The contributions that are included in this e-book have been selected from those presented at the first conference on 'Models and mathematical methods and their applications to biology and industry' held in La Roche sur Yon, France, in December 2007. The aim of the conference was to present mathematical and numerical methods for solving problems... more...
| 677.169 | 1 |
Download
Description/Abstract
This booklet aims to provide ideas, suggestions and approaches to using dynamic geometry software. Particular strengths of the booklet include the advice on getting started and how this needs time, the crucial difference between drawing and construction, and the encouragement to link work at the computer to other classroom activity. While there is more to be done in terms of ways of embedding DGS software in mathematics teaching, there is much in the booklet that teachers will find useful and stimulating.
| 677.169 | 1 |
Algebra for College Students (7th Edition)
9780321715401
ISBN:
0321715403
Edition: 7 Pub Date: 2011 Publisher: Addison Wesley
Summary: Addison Wesley published Algebra for College Students; used copies can be bought from us today in this 7th edition version. You can save money on discounted copies because they are previously owned and therefore not as expensive as getting brand new ones. Margaret L Lial, John Hornsby and Terry McGinnis co-wrote this textbook and they had it published in 2011. If you are struggling to get to grips with algebra, perha...ps buying Algebra for College Students for cheap prices will help you understand more about how it works. Sell back as well if you have a copy you don't need any more.
Lial, Margaret L. is the author of Algebra for College Students (7th Edition), published 2011 under ISBN 9780321715401 and 0321715403. Four hundred seventy Algebra for College Students (7th Edition) textbooks are available for sale on ValoreBooks.com, one hundred thirty nine used from the cheapest price of $17.80, or buy new starting at $163.349780321715401-3-0-3 Orders ship the same or next business day... [more] material. Has some shelf wear to d [more]
ALTERNATE EDITION: ANNOTATED INSTRUCTOR'S EDITION contains the COMPLETE STUDENT TEXT with some instructor comments or answers. May not include student CD or access code.Exponents, Polynomials, and Polynomials functions because I was able to use them as a shortcut for other hard math problem.
Everything I've learn in this textbook were useful. I'm taking calculus right now and I don't have a hard time with it right now it's because this book helped me built a strong base. It prepares me for the algebra part in calculus.
| 677.169 | 1 |
Shipping prices may be approximate. Please verify cost before checkout.
About the book:
Through previous computer graphics used to display concepts and problem sets, incorporating the use of leading software packages. Computational assistance, exercises and projects have been included to encourage students to make use of these computational tools. The content is organized into eight parts and covers a wide spectrum of topics including Ordinary Differential Equations, Vectors and Linear Algebra, Systems of Differential Equations and Qualitative Methods, Vector Analysis, Fourier Analysis, Orthogonal Expansions, and Wavelets, Partial Differential Equations, Complex Analysis, and Probability and StatisticsBooks WorldWide Express via United States
Hardcover, ISBN 0534552080 Publisher: Wadsworth Inc Fulfillment 0534552080 Publisher: Wadsworth Inc Fulfillment, 2006 0534552080 Publisher: Wadsworth Inc Fulfillment, 2006534552080 Publisher: Wadsworth Inc Fulfillment534552080 Publisher: CL-Engineering, 2006 Brand New, Unread Copy in Perfect Condition. A+ Customer Service!...
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A&B Media Services LLC via United States
Hardcover, ISBN 0534552080 Publisher: Wadsworth Inc Fulfillment, 2006 Used - Acceptable. A used book that may have some cosmetic wear (i.e. shelf-wear, slightly torn or missing dust jacket, dented corner.) All text in great shape!
Hardcover, ISBN 0534552080 Publisher: CL-Engineering534552084-4-0
Hardcover, ISBN 0534552080 Publisher: CL-Engineering534552080 Publisher: CL-Engineering, 20064552080 Publisher: Wadsworth Inc Fulfillment534552080 Publisher: CL-Engineering, 2006534552080 Publisher: CL-Engineering, 2006 Used. This Book is in Good Condition. Clean Copy With Light Amount of Wear. 100% Guaranteed....
Hardcover, ISBN 0534552080 Publisher: Wadsworth Inc Fulfillment, 2006 Good. US Edition. May include moderately worn cover, writing, markings or slight discoloration. SKU:9780534552084-4-0-3 Orders ship the same or next business day. Expedited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions..
| 677.169 | 1 |
Shipping prices may be approximate. Please verify cost before checkout.
About the book:
An Introduction to Analysis, Second Edition provides a mathematically rigorous introduction to analysis of real-valued functions of one variable. The text is written to ease the transition from primarily computational to primarily theoretical mathematics. Numerous examples and exercises help students to understand mathematical proofs in an abstract setting, as well as to be able to formulate and write them. The material is as clear and intuitive as possible while still maintaining mathematical integrity. The author presents abstract mathematics in a way that makes the subject both understandable and exciting to students.
Hardcover, ISBN 1577662326 Publisher: Waveland Pr Inc 1577662326 Publisher: Waveland Pr Inc, 2002 Waveland Pr Inc. Used - Good. Shows some signs of wear, and may have some markings on the inside. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy!
Hardcover, ISBN 1577662326 Publisher: Waveland Pr Inc, 2002 Used - Good, Usually ships in 1-2 business days, Textbook only. May have some highlighting or writing inside. May have used stickers on front/back cover. Choose expedited shipping for faster delivery. Lm
Hardcover, ISBN 1577662326 Publisher: Waveland Pr Inc, 2002 Used - Good, Usually ships in 1-2 business days, Quality customer service and careful shipping included with every order. used books will have used supplements; access codes and CD's may not always work or be included.
Hardcover, ISBN 1577662326 Publisher: Waveland Pr Inc, 2002 Used - Good. Shows some signs of wear, and may have some markings on the inside. Shipped to over one million happy customers. Your purchase benefits world literacy!
Hardcover, ISBN 1577662326 Publisher: Waveland Pr Inc, 2002
| 677.169 | 1 |
Synopses & Reviews
Publisher Comments:
The Notebook Reference Math Fact Book offers students everything they need for success in math right at their fingertips! This convenient, 144 page fact book is filled with illustrations, formulas, definitions, and examples that children can use to review virtually every type of math problem. Essential information can also be quickly located with a section of ready reference charts that covering from multiplication to precalculus. Basic number concepts, operations, percents, probability, interest, geometry, graphing data, and metric measurements are just a few of the wide variety of concepts and principles covered. The 3-hole punched format allows students to carry this book in a 3-ring binder for quick reference at school, home, or on the go!
Synopsis:
The Notebook Reference Math Fact Book offers students everything they need for success in math right at their fingertips!
Synopsis:
The Notebook Reference Math Fact Book offers students everything they need for success in math right at their fingertips!
"Synopsis"
by Libri,
| 677.169 | 1 |
Academics
Mathematics Department
The Mathematics Department offers mathematics education that meets the needs of all of its students. If your son has a natural ability and inquisitive mind for mathematics we offer courses such as Mathematics 8 Plus to maintain interest and challenge their abilities. We also offer an accelerated mathematics program beginning in the tenth grade that allows students to complete Pre-Calculus 10, 11 & 12 in two years so to enroll in Advanced Placement Calculus in their twelfth grade. We offer students of all abilities the opportunity to succeed and achieve their goal of entering post-secondary education by offering both Foundations 11 & 12 as well as Pre-Calculus 11 & 12.
The Foundations pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for post-secondary studies in programs that do not require the study of theoretical calculus. Topics include financial mathematics, geometry, measurement, number, logical reasoning, relations and functions, statistics and probability (WNCP, 2008). The Pre-Calculus pathway is designed to provide students with the mathematical understandings and critical-thinking skills identified for entry into post-secondary programs that require the study of theoretical calculus. Topics include algebra and number, measurement, relations and functions, trigonometry, and permutations, combinations and binomial theorem (WNCP, 2008). Students that enroll in Pre-Calculus 12 are strongly recommended to take Calculus 12 concurrently to better prepare them for post-secondary mathematics. Aside from curricular activities, the Mathematics Department proudly participates in extracurricular activities such as American and Canadian mathematics contests and Math Club. Students are often sought after by universities because of their contest results.
The staff of the mathematics department are all teachers with strong mathematics backgrounds. They are all willing to help their students maximize conceptual understanding and promote success in future years of mathematics.
| 677.169 | 1 |
PUBLISHED
PRODUCT TYPE
2,130Book
1Subscription
1Training
Mathematics
Mathematics, "The Queen of Sciences" as called by Carl Friedrich Gauss, is the science of number, quantity, and space, either as abstract concepts or as applied to other disciplines (such as physics and engineering).
The distinguished authors of the top-quality books and textbooks listed under Research and Markets' Mathematics category are the world's leading researchers. These publications cover all the key areas in today's research. They are invaluable references, comprehensive and
readily accessible. When available, pre-publication titles are also included, so you can be sure not to miss the latest developments in your research field.
The readership of this category includes both graduate and undergraduate students, as well as researchers and mature mathematics.
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A unique primer on quantitative methods as applied to Islamic finance
Introductory Mathematics and Statistics for Islamic Finance + Website is a comprehensive guide to quantitative methods, specifically...
Mathematical Statistics with Applications, Second Edition, gives an up-to-date introduction to the theory of statistics with a wealth of real-world applications that will help students approach statistical...
Written at a readily accessible level, Basic Data Analysis for Time Series with R emphasizes the mathematical importance of collaborative analysis of data used to collect increments of time or space....
Learn and practice your Algebra II skills with two friendly For Dummies guides for one low price!
This value-priced, two-book bundle brings two popular For Dummies math guides together to offer readers...
August2014
EUR 28USD 31GBP 20AUD 40JPY 3,661SEK 258CHF 29CAD 40
Basic Math and Pre-Algebra: Learn and Practice 2 Book Bundle with 1 Year Online Access
Learn and practice your Basic Math & Pre-Algebra skills with two friendly For Dummies guides for one low price!
This value-priced, two-book bundle brings two popular For Dummies math guides together...
Learn and practice your Algebra I skills with two friendly For Dummies guides for one low price!
This value-priced, two-book bundle brings two popular For Dummies math guides together to offer readers...
Features emerging trends that are shaping supply chain operations worldwide as well as impacting the global business landscape
Beginning with the assertion that supply chains are an overlooked factor...
This book introduces the use of statistics to solve a variety of problems in exercise science and health and provides readers with a solid foundation for future research and data analysis.
Statistics...
The Basic Mathematics course is designed to prepare you for the basic math skills needed in the Security Industry. It is important that you be able to convert decimal feet and inches to fractional feet...
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes...
July2014
EUR 152USD 171GBP 110AUD 221JPY 20,146SEK 1 420CHF 158CAD 218
Paradigms of Combinatorial Optimization-2nd Edition: Problems and New Approaches. ISTE
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes...
Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes...
| 677.169 | 1 |
Functional Skills In Maths & English In Beauty Therapy
£9.99
ISBN: 978-1408072684 Reference: BK-581 Author: Description: Written by Habia, the Hair and Beauty Industry Authority, this write-in workbook is an invaluable resource to help learners improve their Maths and English skills and prepare for Level 1 and Level 2 Functional Skills exams. The workbook format enables learners to practice and improve their maths and English skills and the real-life questions, exercises and scenarios are all written with a beauty therapy context to help students find essential Maths and English theory understandable, engaging and achievable. This workbook is an invaluable resource to support Maths and English learning in the classroom, at work and for personal study at home.
| 677.169 | 1 |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for).
| 677.169 | 1 |
Single Variable Calculus, Volume 2Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With SINGLE VARIABLE CALCULUSIntegrals
Areas and Distances
The Definite Integral
Discovery Project: Area Functions
The Fundamental Theorem of Calculus
Indefinite Integrals and the Net Change Theorem
Writing Project: Newton, Leibniz, and the Invention of Calculus
The Substitution Rule
Review
Problems Plus
Applications Of Integration
Areas Between Curves
Applied Project: The Gini Index
Volume
Volumes by Cylindrical Shells
Work
Average Value of a Function
Review
Problems Plus
Inverse Functions
Exponential, Logarithmic, and Inverse Trigonometric Functions
Inverse Functions. (Instructors may cover either Sections 6.2-6.4 or Sections 6.2*-6.4*. See the Preface.)
Exponential Functions and Their Derivatives
Logarithmic Functions
Derivatives of Logarithmic Functions
The Natural Logarithmic Function
The Natural Exponential Function
General Logarithmic and Exponential Functions
Exponential Growth and Decay
Inverse Trigonometric Functions
Applied Project: Where to Sit at the Movies
Hyperbolic Functions
Indeterminate Forms and l'Hospital's Rule
Writing Project: The Origins of l'Hospital's Rule
Review
Problems Plus
Techniques Of Integration
Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Integration of Rational Functions by Partial Fractions
Strategy for Integration
Applied Project: Calculus and Baseball
Integration Using Tables and Computer Algebra Systems
Discovery Project: Patterns in Integrals
Approximate Integration
Improper Integrals
Review
Problems Plus
Further Applications Of Integration
Arc Length
Discovery Project: Arc Length ConteSt. Area of a Surface of Revolution
| 677.169 | 1 |
More About
This Textbook
Overview
Financial Products provides a step-by-step guide to some of the most important ideas in financial mathematics. It describes and explains interest rates, discounting, arbitrage, risk neutral probabilities, forward contracts, futures, bonds, FRA and swaps. It shows how to construct both elementary and complex (Libor) zero curves. Options are described, illustrated and then priced using the Black Scholes formula and binomial trees. Finally, there is a chapter describing default probabilities, credit ratings and credit derivatives (CDS, TRS, CSO and CDO). An important feature of the book is that it explains this range of concepts and techniques in a way that can be understood by those with only a basic understanding of algebra. Many of the calculations are illustrated using Excel spreadsheets, as are some of the more complex algebraic processes. This accessible approach makes it an ideal introduction to financial products for undergraduates and those studying for professional financial
| 677.169 | 1 |
We use the WWW for so many things today--information, communication, collaboration. This little booklet, by the Google...
see more
We use the WWW for so many things today--information, communication, collaboration. This little booklet, by the Google Chrome Team, is a guide for people who want to understand the basics about the browser and the WWW. It serves as a look at the Internet, the backbone on which the Web depends. Then it looks at modern uses of the web through cloud computing and web apps. The building blocks of web pages like HTML and JavaScript are introduced as well as features in the modern browser that make it safer. Finally, there's a look ahead at how the Web is likely to continue to develop.
This Flash slideshow introduces social network analysis as it is applied to socio-technical spaces / electronic social...
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This site provides an extensive and cross-linked chronology of the value of pi, including recent computer-based...
see more
This site provides an extensive and cross-linked chronology of the value of pi, including recent computer-based calculations. It is a subpage of the MacTutor History of Mathematics Archive that is listed separately in MERLOT.
This is pretty much what it says it is. This course is written in a lively and engaging style. It starts with elementary...
see more
This is pretty much what it says it is. This course is written in a lively and engaging style. It starts with elementary set theory and quickly builds up to a discussion of the Continuum Hypothesis with quite a few proofs along the way.
| 677.169 | 1 |
District Syllabus MAC1114
Plane Trigonometry
This is a basic course designed to prepare the student for more
advanced mathematics. The course treats both circular and
trigonometric functions. Topics covered include fundamental
concepts, identities, graphs of the functions, the inverse functions
and their graphs, application to right and oblique triangles,
trigonometric equations, vectors, and complex numbers. Meets A.A.
general education
Category III.
Additional materials may be assigned by the instructor to supplement the required materials. -->
Special Requirements:
Distance Learning/Hybrid Course statement:
There is a $24.99 Lab Fee for Distance Learning courses and NO Lab
Fee for Hybrid courses.
Distance Learning and Hybrid Sections require a MyMathLab access
code. Use of MyMathLab in face-to-face sections is at the discretion
of the instructor. Contact your instructor to determine if MyMathLab
is required. For sections NOT requiring MyMathLab the textbook
listed is required.
Program Learning Outcomes:
MATHEMATIC COURSE
Global Learning Outcomes and Objectives:
Performance Indicator:
The student applies an understanding of natural, mathematical and
behavioral scientific principles and methods to solve abstract and
relevant problems, using appropriate technology with inclusion of
necessary scientific and mathematical language.
Student's Level of Achievement Based upon Student's Performance:
MASTERY:
The student uses relevant techniques, demonstrates excellent
observations skills for trends and patterns, collects reliable data,
reaches valid conclusions from it, performs accurate computations,
uses results to predict outcomes of similar phenomena.
COMPETENT:
The student uses some relevant techniques, demonstrates good
observation skills, collects appropriate volume of data, reaches
acceptable conclusions with a few exceptions, performs computations
with good accuracy.
DEVELOPING:
The student uses questionable techniques, demonstrates fair
observation skills, collects insufficient data, reaches marginal or
invalid conclusion, performs some inaccurate computations.
Beginning:
The student uses faulty techniques, demonstrates poor observation
skills, exhibits unreliable data collection skills, reaches
inappropriate conclusions, and performs inaccurate and improper
computations.
.
Upon completion of the course the student will have sufficient
knowledge of the elements of trigonometry to apply it to problems
encountered in other courses, such as physics or calculus, or to use
the elements of trigonometry as encountered in jobs such as
surveying, engineering technology, etc.
Course Learning Outcomes:
At the end of the course the student will be able to:
Use the trigonometric functions, similar triangle proportions,
and the Pythagorean Theorem to solve problems involving
right triangles.
It is the intention of the instructor to accomplish the objectives specified in the course syllabus. However, circumstances may arise which prohibit the fulfilling of this endeavor. Therefore, this syllabus is subject to change. When possible, students will be notified of any change in advance of its occurrence.
Student Email Accounts
Pensacola State College provides an institutional email account to all credit students. Pirate Mail is the official method of communication, and students must use Pirate Mail when communicating with the College. In cases where companion software is used for a particular class, emails may be exchanged between instructor and student using the companion software.
Note:
For students with a disability that falls under the Americans with Disability Act or Section 504 of the Rehabilitation Act, it is the responsibility of the student to notify Student Resource Center for ADA Services to discuss any special needs or equipment necessary to accomplish the requirements for this course. Upon completion of registration with the Student Resource Center for ADA Services office, specific arrangements can be discussed with the instructor.
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Topics
Introduction to Functions, Graphs, And Limits - At A Glance:
Power the race horse, Polly the parrot, and Log the log walk...or roll...into a bar. After a couple root beers, Log challenges the others to a race on a horse track. Who will we bet on? Power, of course! Why would a log challenge a race horse to a race, anyway?
Some functions grow more quickly than others, and in this section will help us determine which functions will dominate and which functions might lag behind.
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Elementary / Intermediate Algebra - 4th edition
Summary: "Elementary & Intermediate Algebra, 4/e" by Baratto/Bergman is part of the latest offerings in the successful "Streeter-Hutchison Series in Mathematics". The fourth edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce beginning and intermediate algebra con...show morecepts and put the content in context. The authors use a three-pronged approach (Communication, Pattern Recognition, and Problem Solving) to present the material and stimulate critical thinking skills. Items such as math anxiety boxes, check yourself exercises, and activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student's skills in relating to mathematics. The book is designed for a combined beginning and intermediate algebra course, or it can be used across two courses, and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone
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Add_in
Download details: Microsoft Mathematics 4.0. Microsoft Mathematics provides a graphing calculator that plots in 2D and 3D, step-by-step equation solving, and useful tools to help students with math and science studies.
Note: There are multiple files available for this download. Once you click on the "Download" button, you will be prompted to select the files you need. Microsoft Mathematics provides a set of mathematical tools that help students get school work done quickly and easily. With Microsoft Mathematics, students can learn to solve equations step-by-step while gaining a better understanding of fundamental concepts in pre-algebra, algebra, trigonometry, physics, chemistry, and calculus.Microsoft Mathematics includes a full-featured graphing calculator that's designed to work just like a handheld calculator.
Additional math tools help you evaluate triangles, convert from one system of units to another, and solve systems of equations.
Mathematics Add-In for Word and OneNote. Microsoft Mathematics Add-in for Microsoft Word and Microsoft OneNote makes it easy to plot graphs in 2D and 3D, solve equations or inequalities, and simplify algebraic expressions in your Word documents and OneNote notebooks.
If you're running Word 2013 or OneNote 2013, we've got you covered. You can find your version here. With the Microsoft Mathematics Add-in for Word and OneNote, you can perform mathematical calculations and plot graphs in your Word documents and OneNote notebooks. The add-in also provides an extensive collection of mathematical symbols and structures to display clearly formatted mathematical expressions. You can also quickly insert commonly used expressions and math structures by using the Equation gallery.
Welcome to 2BillionKids.org. Office 07 files.
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Browse related Subjects
...Read More conform to the latest developments in every field of study. Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.Read Less
All Editions of Schaum's Outline of Vector Analysis
Customer Reviews
Excellent Vector Analysis Primer
Dr Spiegel does an excellent job presenting the topic of Vector Analysis. First, he clearly and concisely presents the mathematics governing vectors. Then, he provides the proofs of the mathematical concepts through fully-worked example problems. He then presents fully-worked practical application problems before providing the student with scores of unworked problems (with the answers attached). I am taking a graduate course, Analysis in Mechanical Engineering, and find Dr Spiegel's text completely sufficent to explain the material on vector analysis
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Summary: Practical Business Math Procedures Brief Editionis a comprehensive introduction to the concepts and applications of mathematics to personal and commercial business problems. The text uses basic arithmetic and problem solving techniques and illustrates their use in retailing, interest and loans, banking, payroll, taxes, investments, insurance, and a variety of other business situations. The text is well known for the motivating integration of interesting real world examples and photos...show more from the Wall Street Journal, Kiplinger's, and many other business journals.Slateris the most popular and widely used book for this course and is carefully written and developed to support students with little math experience with practice quizzes, thousands of exercises, color coded procedures and diagrams, supporting tutorial videos on DVD, and the highest standards of reliability and cleanliness2010 Other 10th Brief ed. Good.
$27.73 +$3.99 s/h
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Big Planet Books Burbank, CA
2010-06-03 Paperback Good #1, 058, 354 in Books.
$80.79
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Standard high school courses in algebra and geometry furnish a sufficient basis for understanding each essay. Topics include number theory, geometry, combinatorics, logic and probability, and the methods used often involve an interaction between these disciplines. Some of the essays are easy to read, others more challenging; some of the exercises are routine, others lead the reader deeper into the subject.
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Most Helpful Customer Reviews
This is a marvellous volume for math enthusiasts of all ages and levels. It's accessible to an inquisitive high school student with little background in the subject; and it doesn't duplicate the sort of material found in high school and university courses, so it's still got plenty to offer the graduate student or math teacher. The author's enthusiasm for the subject leaps out from every paragraph, and it's contagious. Honsberger carefully and thoroughly explains the proofs he presents; very little of import is left to the reader. Among the results: - If x and y are positive numbers less than 1, chosen at random, the probability that x, y, and 1 form the sides of an obtuse triangle is (pi-2)/4 - For any string of digits S=a_1a_2...a_m, and integer n not a power of 10, there is a power of n that begins with the string S - On average, the probability that two randomly chosen integers are coprime is 6/pi^2. At the end of each section are practice problems that make use of the material just presented, and these offer additional insight into the scope of the proofs. In short, it's a great book, and it's particularly helpful for high school students looking for practice on contest-type problems, and for teachers looking for material for gifted students.
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Mathematics
SubjectEnvironmental Systems Theorypart of Cutting Edge:Complex Systems:Courses Course begins with an exploration of chaos and complex systems theory as an antidote to the equilibrium thinking most students have been taught. This includes the logistic model as a basic definition of chaos ...
Problem Solving in the Environmental Sciencespart of Cutting Edge:Course Design:Goals Database This course is an opportunity for students to gain first-hand experience with developing effective approaches to solving complex environmental problems. We address fundamental quantitative concepts and then apply ...
Introduction to Earth Systems Sciencepart of Quantitative Skills:Courses This course is an introduction to Earth Systems Science. Earth Systems Science is the study of the complex interrelationships between materials and energy in the atmosphere and in the solid, fluid, and living
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This unit addresses outcomes of events and the probabilities of different outcomes. The first section introduces efficient methods for determining outcomes, such as tree diagrams and formulas. It explains the distinction between permutations and combinations. The lessons let students work with the formulas that allow us to compute the number of possible permutations or combinations. Section 2 covers theoretical and experimental probabilities. Lessons in this section show how to find probabilities for disjointed and overlapping events, as well as independent and dependent events.
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Clear, rigorous definitions of mathematical terms are crucial to good scientific and technical writing-and to understanding the writings of others. Scientists, engineers, mathematicians, economists, technical writers, computer programmers, along with teachers, professors, and students, all have the need for comprehensible, working definitions of mathematical...This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to... more...
This book treats all of the most commonly used theories of the integral. After motivating the idea of integral, we devote a full chapter to the Riemann integral and the next to the Lebesgue integral. Another chapter compares and contrasts the two theories. The concluding chapter offers brief introductions to the Henstock integral, the Daniell integral,... more...... more...
Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.
Convex Analysis... more...
Introduces geometric measure theory through the notion of currents. This book provides background for the student and discusses techniques that are applicable to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics. more...
The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric... more...
Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know... more...
This work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent... more...
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Ti-89 series - wikipedia, the free encyclopedia, Ti-89 . the ti-89 is a graphing calculator developed by texas instruments (ti) in 1998. the unit features a 160×100 pixel resolution lcd screen and a large amount of.
Using the ti-83/84 graphing calculator - higher education, This tutorial is designed with the student in mind. the topics selected are those that students will use in college algebra, college trigonometry, and.
Texas instruments - wikipedia, the free encyclopedia, Texas instruments was founded in 1951. it emerged after a reorganization of geophysical service. this company manufactured equipment for use in the seismic industry.
Some of Michael Fichtenmayer's insane model's for detail reference.
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It gives your computer all the power of a graphing calculator, but without the hassle and frustrating learning curve of a traditional hand-held device. Some of the features of this versatile application are scientific calculator, conversions, complex numbers, hexadecimal and binary number support, user defined functions and variables, result history, math notation, mini mode and expanded mode.
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Calculus: Multivariable
Designed for the Calculus III sequence, the ninth edition of Calculus Multivariable continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions such as Anton's trademark clarity of exposition, sound mathematics, excellent exercises and examples, and appropriate level. Anton also incorporates new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors and their students.
Readability Balanced with Rigor: The authors' goal is to present precise mathematics to the fullest extent possible in an introductory treatment.
Commitment to Student Success: Clear writing, effective pedagogy--including special exercises designed for self-assessment--and visual representations of the mathematics help students from a variety of backgrounds to learn. Recognizing variations in learning styles, the authors take a "rule of four" approach, presenting concepts from the verbal, algebraic, visual, and numerical points of view to foster deeper understanding whenever appropriate.
Flexibility: This edition is designed to serve a broad spectrum of calculus philosophies-from traditional to "reform." Technology can be emphasized or not, and the order of many topics can be adapted to accommodate each instructor's specific needs.
Quick Check Exercises: Each exercise set begins with approximately five exercises (answers included) that are designed to provide the student with an immediate assessment of whether he or she has mastered key ideas from the section. They require a minimum of computation and can usually be answered by filling in the blanks.
Focus on Concepts Exercises: Each exercise set contains a clearly-identified group of problems that focus on the main ideas of the section.
Technology Exercises: Most sections include exercises that are designed to be solve using either a graphing calculator or a computer algebra system such as Mathematica, Maple, or Derive. These exercises are marked with an icon for easy identification.
Expository Excellence: Clear explanations allow students to build confidence and provide flexibility for the instructor to use class time for problem solving, applications and explanation of difficult concepts.
Mathematical Level: The book is written at a mathematical level that is suitable for students planning on careers in engineering or science.
Applicability of Calculus: One of the primary goals of this text is to link calculus to the real world and the student s own experience. This theme is carried through in the examples and exercises.
Historical Notes: The biographies and historical notes have been a hallmark of this text from its first edition and have been maintained in this edition. All of the biographical materials have been distilled from standard sources with the goal of capturing the personalities of the great mathematicians and bringing them to life for the student.
New to This Edition:
Exercise Sets: New true/false exercises and new expository writing exercises have been added.
Making Connections: Contains a select group of exercises that draw on ideas developed in the entire chapter rather than focusing on a single section as with the regular exercise sets.
New Chapter 0: The review material from Chapter 1 is now in Chapter 0.
Visualization: Illustrations make extensive use of modern computer graphics to clarify concepts and to develop the student's ability to visualize mathematical objects, particularly those in 3-space. For students working with graphing technology, many exercises develop the ability to generate and analyze mathematical curves and surfaces.
Additional Student-Friendly Reorganization The sections "Graphing Functions Using Calculators and Computer Algebra Systems" and "Mathematical Models" are now text appendices; and the section "Second-Order Linear Homogeneous Differential Equations; The Vibrating String" is now posted on the web site that supports this text.
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Complex Analysis and text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this text offers two books in one. In the second part of the book, some emphasis is given to the application of complex analysis to differential equations. Half of the book consists of approximately 200 worked out problems, carefully prepared for each part of theory, plus 200 exercises of variable levels of difficulty.
Tailored to any course giving the first introduction to complex analysis or differential equations, this text assumes only a basic knowledge of linear algebra and differential and integral calculus. Moreover, the large number of examples, worked out problems and exercises makes this the ideal book for independent study.
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More About
This Textbook
Overview
A how to do it review and learn book on advanced mathematics necessary to physical chemistry. Coordinate systems, functions and graphs, logarithms, differential calculus, integral calculus, infinite series, differential equations, scalars and vectors, matrices and determinants, operators, numerical methods and the use of the computer, and mathematical methods in the laboratory. Educators, Technicians, and other professionals using mathematics in physical chemistry.
Related Subjects
Read an ExcerptGeneral Properties of Logarithms. Common Logarithms. Natural Logarithms.
4. Differential Calculus.
Functions of Single Variables. Functions of Several Variables-Partial Derivatives. The Total Differential. Derivative as a Ratio of Infinitesimally Small Changes. Geometric Properties of Derivatives. Constrained Maxima and Minima.
5. Integral Calculus.
Integral as an Antiderivative. General Methods of Integration. Special Methods of Integration. The Integral as a Summation of Infinitesimally Small Elements. Line Integrals. Double and Triple Integrals.
6. Infinite Series.
Tests for Convergence and Divergence. Power Series Revisited. Maclaurin and Taylor Series. Fourier Series and Fourier Transforms.
Preface
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In this thesis, the teacher's knowledge on the types of problems that exist in mathematics is discussed. Also, this thesis identifies the teacher's awareness on children's solution to the problems, as well as students' development of numberAbstract algebra is, at its core, the study of algebraic structures. As the name implies, these structures can be studied in the abstract. Therefore universal properties can be examined and proven generally, as opposed to being studied number...
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Synopses & Reviews
Publisher Comments:
Understanding the concepts and methods of real analysis is an essential skill for every undergraduate mathematics student. Written in an easy-to-read style, Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates. Combining an informal style with precision mathematics, Real Analysis covers all the key topics with fully worked examples and exercises with solutions.
Featuring: Sequences and series - considering the central notion of a limit.- Continuous functions.- Differentiation.- Integration.- Logarithmic and exponential functions.- Uniform convergence.- Circular functions All these concepts and techniques are deployed in examples in the final chapter to provide the student with a thorough understanding of this challenging subject.
Synopsis:
"Synopsis"
by Springer,
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Steven Chapra's Applied Numerical Methods with MATLAB, third edition, is written for engineering and science students who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The book is designed for a one-semester or one-quarter course in numerical methods typically taken by undergraduates.
The third edition features new chapters on Eigenvalues and Fourier Analysis and is accompanied by an extensive set of m-files and instructor materials.
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This book explains the material very well. I took the class Fall 11 and heavily relied on the book for my success. It thoroughly explains the processes and math and does not assume you know background material. Key MATLAB programs are demonstrated and the steps explained well. I recommend it for anyone needing to understand MATLAB in an engineering and numerical analysis setting.
This is not a book to learn MATLAB. This is a book that teaches numerical methods (it does that very well). Great examples and great practice problems enabled me to grasp the material easily. The MATLAB exercises made it easier for a beginner programmer like me to write my own numerical analysis programs.
This book is 100% useless and frustrating unless you 1) only need to be able to do the methods on matlab, not by hand or 2) have a teacher that actually teaches the concepts in class. Rather than tell you step-by-step how to solve a problem using the method described, they give you exactly one crappy, over complicated example that requires an in depth knowledge of physics before you can even set out to learn what they're trying to teach you. You then have to infer how to use the method given the example. For instance, I am sitting here trying to use eigenvalues to solve for the amplitude of some springs and masses without having the foggiest idea how they got the equation for the springs in the example or how to modify it to fit the more complex homework system, let alone how to then transform it into eigenvalues given the exactly 1-page example on how to use them with no further explanation of why they were doing what they were doing it. Everyone in my class routinely complains about the book, and the topics covered are so random and niche that it's hard to google them when you need further clarification. It's almost like it's trying to teach linear algebra without telling you that's what it's doing. With other useless stuff thrown in. But hey, If you want to know how to find the square root of a number or the inverse of a system of linear equations by hand and don't have access to a graphing calculator or the internet, this book will teach you how with minimal tears and only a few thrown objects.
Got this book for an Intro to Numerical Methods class. Dunno if it was my instructor, or the book, but only ended up reading a couple chapters of it, virtually all the info in the book related to MatLab is contained in the matlab help file... and I ended up getting all the math proofs in my notes in class... So really didn't need the book.
This book is OK if you want to get started learning Mathematical Methods using Matlab but I feel it falls short in several aspects. First of all mathematical derivations are completely missing, how can you learn numerical methods if you don't understand the principles behind it!? Since this is mainly for engineers I agree that a fully developed mathematical derivation might not be necessary in every topic. However, engineers should not be alien to math and just using a couple of function plots and some practice example to illustrate new material is just unacceptable. It can leave the reader confused regarding specific details and steps in the algorithms.
From a programmer's perspective, the code in the book is 'ugly': it uses poor formatting, is poorly commented and it can take significant time to wade through the m files provided. I feel the code adds little to the book even though this book is about numerical methods *with* Matlab!!! Go check somewhere else before choosing this book, but if you must, do yourself a favor and buy the international edition and save considerable $$.
Its a nice book that gives beginners an introduction to Matlab. It doesn't do much more than that, so if you already know better, don't bother. However, for those starting out with Matlab, it does a very good job.
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Download
Chapter 8: CK-12 Algebra Explorations Concepts, Grade 6
Introduction
In these concepts, you will continue to develop ten key concepts of algebra and will practice your problem solving skills. There are ten concepts, and each one focuses on a key algebraic thinking strategy. You will focus on describing, identifying your job, planning, solving, and checking your thinking.
Chapter Outline
Chapter Summary
Summary
In these concepts we used proportional reasoning when we determined the weights of coins in grams. We thought about equality and inequality when we used the order of operations and the distributive property. We saw variables as unknowns when we modeled systems of equations in letter grid problems and scale problems. We also saw variables as varying quantities when we completed tables for functions and applied area and perimeter formulas to solve problems. We wrote equations to represent weights of blocks pictured on scales, purchases of items, number of shapes in patterns, and distance/time relationships. In many of the concepts we practiced interpreting representations of mathematical relationships, such as when we looked at circle and arrow grid diagrams, weight scales, and line graphs.
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The course aims to teach the principles of multivariable calculus in a modern way, using Mathematica. We introduce students to aspects of elementary differential geometry, optimization and physics that, while important and relevant to the needs of practicing scientists and engineers, are often omitted in a traditional text. The emphasis is on the geometric, symbolic, numeric, and qualitative aspects of the subject. The problems are designed to force the student to engage in critical, analytic, and interpretive thinking beyond rote manipulation of algebra and calculus formulas.
Materials
The course meets 3 hours a week in a traditional classroom, and one hour per week in a computer lab where students work on problems in an interactive setting. We use three different kinds of course materials:
Calculus with Analytic Geometry, 5th ed. by Ellis and Gulick, Chs. 11-15. This is a traditional multivariable calculus textbook, although almost any other calculus book could be substituted.
Approximately 14 Mathematica notebooks (only partially completed) that we have prepared for the lab sessions.
Each session begins with a warm-up problem, a tutorial, and problems for the students to work on by themsleves or in small groups, and concludes with a quiz problem. The most unusual feature of the course is the way we handle homework and exams. Homework problems are assigned primarily from the C-L-R text, though sometimes routine problems are added from the traditional text. The students work on these in Mathematica and submit their solution notebooks by ftp. The exams are conducted online, in Mathematica, in a computer lab.
Description
This course is the third semester of the caculus sequence for science and engineering majors. Most of the students are sophomores, however a few are freshmen with advanced placement.
This format for multivariable calculus is not necessarily for all students, but has been quite successful with engineering and science students interested in modern computing. Many students come out of this course not only knowing the material thoroughly, but also sufficiently adept at Mathematica to use it in their other science and math courses.
Topics:
Vectors, lines and planes
Geometry of curves, with applications to kinematics
Partial and directional derivatives
Optimization in several variables
Multiple integrals, including change of variables
Calculus of vector fields, including Green's Theorem, Stokes' Theorem, and the Divergence Theorem
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Abstract: How to plan and organize instruction to help students understand the function concept and to make the mathematics explicit. Linear, quadratic, and exponential functions are explored through use of manipulatives and data collection. Includes activity sheets.
The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
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bestselling math book author takes what appears to be a typical geometry workbook, full of solved problems, and makes notes in the margins adding missing steps and simplifying concepts so that otherwise baffling solutions are made perfectly clear. By learning how to interpret and solve problems as they are presented in courses, students become fully prepared to solve any obscure problem. No more solving by trial and error!
• Includes 1000 problems and solutions • Annotations throughout the text clarify each problem and fill in missing steps needed to reach the solution, making this book like no other geometry workbook on the market • The previous two books in the series on calculus and algebra sell very well
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Most Helpful Customer Reviews
I used this book in conjunction with the Jurgenson and Brown Geometry textbook this summer to tutor a student who needed to pass an entrance exam in geometry so that he could take Algebra II next semester. He passed with a 95.
I'm a math teacher and tutor, and own the entire Humongous series. I've also been a professional indexer, and I can tell you that I appreciated the care taken with the index (and also the large font used - a nice treat, in comparison with the usual tiny-print indexes!).
There *is* a chapter on logic and proofs, but it's not extensive. However, proofs don't seem to have the emphasis they had back when I studied geometry in the 60's, so it shouldn't be a problem for the modern student.
It's odd that Amazon doesn't provide a view of the table of contents for this book. I found a website that does provide one - go here: [...]
I definitely recommend this book for those wishing to learn geometry. It even begins with refresher material on the algebra and rational numbers you'll use in geometry.
5/13: I've solved every problem in The Humongous Book of Statistics Problems, and it is a very good statistics book. As a matter of fact, I am pleasantly surprised at the level of pedagogy infused throughout the book as the authors have showed the willingness to include topics not normally covered in other statistics books. Some of these examples are nonparametric tests including sign tests (small and large samples), paired-sample sign tests (small and large samples), Wilcoxon Rank Sum Tests (small and large samples and also dependent samples), Kruskal-Wallis Test, and Spearman Rank Correlation Test; forecasting (simple MA, weighted MA, exponential smoothing also with trend adjustment, and seasonality indices), and statistical process control including process capability ratio and index. The way the authors explained the concepts is very good and beats many statistical textbooks. On the other hand, I have to note the negatives about The Humongous Book of Statistics Problems. For example, problems 4.21 through 4.24, the authors don't bother with Venn Diagrams to illustrate how the problems can be solved. I've always thought it to be an indispensable tool when encountering these certain problems. Chapter 6 doesn't bother with the concept of summation symbol to add up the probabilities. It would have saved a lot of time and is really important for Poisson probabilities. Although the authors do a nice job of explaining Chapters 10 and 11, the problems are an overkill. It's just too many problems for one concept. Reducing it would be a better idea to free up some space for additional statistical concepts. Getting rid of Chapter 18, which is a test review, would be a good idea too.Read more ›
To begin I used this book and the Complete Idiot's guide to Statistics book to prime myself for the dsst exam. I'm close to 60 years old.
I found the book excellent in it's coverage of the various examples and problems that a student would encounter in exercises or tests. The exercises begin simple enough, but they become more complex as expected. The explanation and directions are given in side notes these add to understanding the problems solution. The continuing sections of each chapter are further seperated for clarity. There are nearly 900 problems included in this book.
An example in beginning Hypothesis Testing for a Single Population, the reader is introduced to a Mean= or > than 30 and Sigma unknown. The next section begins to a Mean < 30 and Sigma known. This sequence continues for each chapter section so to keep a student from getting too confused. The book covers or touches most material included in a first years Statistics course.Including Statistical Process Control.
The bad points...there are a few typos and miscalculations, but they are not insurmountable. If I can find them and correct so can a younger student. By the way I scored a 460 on the dsst Statistics exam.
Exceptional book for high school student taking an honors geometry class..have bought a few over time and most are just lists of problems with answers in back..but this one actually goes step by step thru a well orchestrated sequence of problems and does a terrific job explaining them. Great coverage of the years content + good preview of basic algebra materials needed to be succesful in Geo.
This is another great help book in the "Humongous" math book series. There are so many problems that are solved with step by step explanations, diagrams and notes in easy to find areas of geometry. It is a great book for getting help and explanations for any particular problem area a student may encounter. The "Humongous" math series books are by far the best math books I have ever looked at.
As a math tutor, there are times when textbooks don't help. Geometry isn't that hard as long as you are good at Algebra. However, whenever you look at the textbook examples, it easier than the homework problems. I wanted a handbook on Geometry as a good review and have a good idea how to teach my students more effectively. I wanted something with step-by-step solutions, since my method in teaching math is "breaking it down". This book was perfect! It has 40 examples per chapter. And lot of PROOFS to practice! I recommend to everyone who is struggling in Geometry.
More About the Author
W. Michael Kelley taught high school mathematics for seven years before leaving to work at the University of Maryland College Park Education College. After serving as the Director of Teacher Preparation at the American Board for Certification of Teacher Excellence for nearly 10 years, he now works for Laureate Education, developing online coursework for colleges and universities.
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Preview — How to Solve It by George Pólya
How to Solve It: A New Aspect of Mathematical Method
Gener Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem....more
Paperback, 288 pages
Published
April 25th 2004
by Princeton University Press
(first published November 30th 1944)
Community Reviews
, the book probably won't teach you anything that you didn't know already. However, I have to say it twice, the book is written in a style so instructive that I'm pretty sure just about anybody could benefit from it.
In my opinion, this is definitely one of those books that every mathematician and everyone using mathematics (or even dealing with difficult problems of non-mathematical nature) should read and even perhaps have one lying around... just in case you feel like solving the Riemann hypothesis :P (or something wee bit easier for that matter XD)...more
but for solving any problem in any field.
Polya's general steps for solving problems include the following four steps: 1. understand the problem, 2. devise a plan, 3. carry out the plan, and 4. look back and examine the solution. These are simple and easy to remember steps, but powerful in their applicability to the most basic to the most complex problems that we face and are at the heart of learning. Over the years, different writers have revised these steps (added, taken away, shifted the wording and emphasis) the essential points still hold.
In addition, to the overall framework of Polya's heuristic and its generalizable nature, what I really like about this work is the fact that I can revisit it for nuggets of wisdom. The third section and roughly half of the book is taken up with "A Short Dictionary of Heuristic" which is a great resource. Each entry is a short essay on a given topic that weighs on either the nature of problem solving or the history of problem solving. One useful framework, that I took away immediately is the difference between "Problems to Solve" and "Problems to Prove." Making a distinction between these two types of problems it is easy to see that we often focus in education on problems to solve, but I and many students love finding out why (problems to prove).
So that said, I think this is a book that I will come back to and reference: a true classic in the educational literature. ...more
thro through most of it, only stopping at the particular instances I found new/ relevant/ interesting. I skipped a lot of the examples (I know, I know, I'm still feeling guilty about it!) , regardless I found many good gems in the long stretch of text. The creator's paradox, for example, is something I've learned the hard way, but seeing it packed into a concept helped organize my thinking a lot.
I would have given it a much higher rating as a middleschool to highschool student.
cla classroom utilized math word problems to bridge what was already an advanced proclivity for most of the Chinese students - math - into the English language. In an American neighborhood where one could live a basically full-life with little knowledge of English, it gave cause for a leap.
Here Polya uses words to bridge people into the world of mathematical concept, so often performed solely by numbers and symbols in its mechanics, we do not as often highlight the immense language of meaning signified within any method. And in a society where these mechanics can at times feel assumed and tiresomely already-done, it grants the charm of discovery and rediscovery and lends the value of everyday affirmation through exploration yoElegance in solving problems is not strictly a mathematical skill set. Polya wisely formats word problems, critical thinking problems, and yes mathematical problems that occasionally are intimidating you decompress a problem into it's bare elements (variables, constants), the problem becomes manageable, even if not easily solvable.
Some of the big takeaways for me from this book are the following:
1) Always look from the end, trying to solve a problem 2) Problem Solving is: data + unknowns + conditions. Everything is in that. Generalizing a specific problem into that, is going to give you a better road map. 3) Always revisit a problem when you finish. It's not as important to get a correct answer, as it is to come to an understanding of what that problem is 4) Understanding the problem is the place to start. 5) Analogies help us to create similar problems, that we can then take those lessons and solve our original problem.
Polya's revelations remind me very much of a brain training book. The focus is mathematics, but the principles are universal. For those looking for a book both accessible and profound, it gets my highest recommendation. ...more
t then they can go on to things such as philosophy or politics.
The first part of How to Solve It are essays on how to teach and how to approach problems in general. His view on teaching is leading a student to think. Giving the student problems where the answer is not the goal, but the experience in seeing a new type of problem. This is contrasted with viewing teaching as a series of cookbook or algorithms to be taught. It also means the role of the teacher is to provide the problem, then give only what is necessary to nudge the student in the direction needed for the student to discover the method of solution. And presumably, to be able to develop methods for other problems the student has not seen before. Very much like what graduate school is supposed to be.
The bulk of How to Solve It describes a wide range of approaches to problem solving. Some are familiar to a variety of disciplines such as business, crisis management, or general analysis. Some are more familiar to those in sciences or mathematics. But the illustrations are understandable to anyone past a first or second year of high school mathematics, making them much more understandable then, say, a graduate course in real analysis.
If I was in the position of working with first year graduate students in anything, I would recommend this book as something to read before they arrive on campus. It provides a good first exposure to many problem-solving approaches and an exhortation on how to think logically and analytically, that will suit them well when they are faced with the complicated subject matter that is ahead of them....more
u usefully how a good mathematician tries to solve math problems. It's organized as a list of strategies to use, or questions to ask during problem solving. There are sections, for instance, on "drawing figures", and "Do you know a related problem?" with examples, and detailed advice.
It's short, engagingly written, witty, and easy to follow. I cannot recommend it too highly to anyone who has to deal with mathematical problems (in science, engineering, or the like) on even an occasional basis....more
problems in the back, presented to test your polished problem solving skills, are pretty awesome - definitely try to solve them yourself! One of my favorites: "A bear, starting at point P, walked one mile due south. Then he changed direction and walked one mile due east. Then he turned again to the left and walked one mile due north, and arrived exactly at the point P he start from. What was the color of the bear?" And no, this isn't a trick question - the answer makes perfect sense!...more
This book may not necessarily make you a better problem solver—that comes only from practice—but it is a useful first step in examining the types of creativity that go into problem-solving. Thus it's almost more a philosophical or psychological work than a how-to guide. The examples are all at middle-school or high-school level; the real point of the book is the enumeration of problem-solving strategies. It may even help you get unstuck when you're overlooking some trick you've used in the past.
It teaches solving mathematical problems. It is mostly focused on high-school problems, but it is applicable to most types of mathematical problems out there. The author has developed a nice heuristic framework for tackling problems and has done a wonderful job of explaining it. It's not just the methods – exposition is also a great takeaway from this read.
On the downside, the book was written in 1945 and sometime it shows. It's more cute than a nuisance, though :) consi
Here's how you solve it: consider auxiliary problems if an immediate connection cannot be found. You should obtain eventually a plan of the solution. DEVISING A PLAN Have you seen it before? Or have you seen the same problem in a slightly different form? Do you know a related problem? Do you know a theorem that could be useful. Look at the unknown! And try to think of a familiar problem having the same or a similar unknown. Here is a problem related to yours and solved before. Could you use it? Could you use its result? Could you use its method? Should you introduce some auxiliary element in order to make its use possible? Could you restate the problem? Could you restate it still differently? Go back to definitions. If you cannot solve the proposed problem try to solve first some related problem. Could you imagine a more accessible related problem? A more general problem? A more special problem? An analogous problem? Could you solve a part of the problem? Keep only part of the condition, drop the other part; how far is the unknown then determined, how can it vary? Could you derive something useful from the data? Could you think of other data appropriate to determine the unknown? Could you change the unknown or the data, or both if necessary, so that the new unknown and the new data are nearer to each other? Did you use all the data? Did you use the whole condition? Have you taken into account all essential notions involved in the problem? Third. Carry out your plan. CARRYING OUT THE PLAN Carrying out your plan of the solution, check each step. Can you see clearly that the step is correct? Can you prove that it is correct? Fourth. Examine the solution obtained. LOOKING BACK Can you check the result? Can you check the argument? Can you derive the result differently? Can you see it at a glance? Can you use the result, or the method, for some other problem?
actual anatomy of solving problems you don't already have a formula for. Like, what does an effective problem-solver really do when they try to solve a problem? What is the actual process by which novel problems are contemplated, relevant bodies of knowledge called upon, resources found, and solutions formulated? What parts of the process are creative and what parts are rigorous? What can one do to get some traction when one is stuck? Somehow, in all my years of reading and thinking about math education, I've never seen an attempt to systematically formulate answers to these questions; but that's what Polya is trying to do here (and substantially succeeding)....more
insight. But that alone would fill less than five pages of the text. The level of pedantism regarding terminology here that I found boringly intolerable and eventually I dreaded picking the book back up because I got it already. Ultimately I failed to find in this book what has made it so successful. "The List" is a great problem-solving approach, but that's just the pre-introduction page, and doesn't justify the remaining 253....more
Gave me new tools for solving problems, and crystalized others. I appreciated the variety of sample problems used to illustrate "the list" that is the core of the book, from simple plane & solid geometry, to crossword puzzles & anagrams. It was also interesting to learn his philosophy on teaching, which echoes in the structure of the book & example problems.
tri tricks and techniques that you can use on your own.
The book reads easily enough. However, the tone of the writing does on occasion tend to be just a bit unintentionally condescending. Most math books from this era that I have read suffer this same problem, so I don't fault this book or the author per se, just the era....more
I quite liked this book. It provides a no-nonsense guide to thinking through problems and working out what to do. Some bits of the dictionary are pretty damn fun too. However, most of the useful content is in the first dialogue section. The problems at the back should not be missed - it's a good way to check how much you have learned.
There are two problems with this book: 1. The language is really dry. 2. The author tried to be as thorough as possible, which means most of the time spent talking about fairly trivial things. As a result, reading it is no fun. The best part is the problems and puzzles in the end.
to read every now and then and make a ton of notes. There was so much to digest I don't think I could do it all in one sitting. Seriously, I can not recommend this enough to anyone who is a programmer....more
reg regards the end. Diligence is the mother of good luck. Cut your coat according to the cloth. We soon believe what we desire. A wise man will make more opportunities than he finds....more
because the content was good, however, I wish it were easier to read or more narrative....more
solut solutions.
In the edition I own there is a foreword by Ian Stewart which valuable itself....more
lot of it, but the heart of the book was in his method of solving....more
Decent book, best for students or teachers, nothing mind blowing or something that will make you go 'Wow! I've never thought about it this way', but it would help the younger folks and help teachers on how to teach.
There are few books I remember from college but this is one that remains on my shelf and I even recommend it periodically. A great approach to how to approach math problems and how to teach an approach that builds understanding and not just methods in solving problems. I've applied the methods of the book to other technical areas both in how I approach problem solving and occasionally how I help others solve problems. A must read for any math teacher and useful for any teacher.
This is one of those mathematical "classics" that those of us with a training in math are supposed to love. Fact of the matter is that it is poorly written and pedestrian in nature. If you are seeking insight into how mathematicians think and approach problem-solving, give this one a miss. You'd be far better off to read Hardy's "A Mathematician's Apology" (dated, but still charming), or Ian Stewart's recent "Letters to a Mathematician" (charming and not dated at all).
Good book if you like solving problems (puzzles and geometrical problems in particular). Author discusses about the importance of heuristic approaches in mathematics and problem solving. Typically finding a solution is heuristic even though explaining it is analytic and using rigorous proof. It also explains lot of typical tips for solving problems like testing at boundary conditions, test by dimension, using analogy, using symmetry etc.
"The first rule of style is to have something to say. The second rule of style is to control yourself when, by chance, you have two things to say; say first one, then the other, not both at the same time."
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"Quite often, when an idea that could be helpful presents itself, we do not appreciate it, for it is so inconspicuous. The expert has, perhaps, no more ideas than the inexperienced, but appreciates more what he has and uses it better."
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More About
This Textbook
Overview
Master the fundamentals of discrete mathematics and proof-writing with MATHEMATICS: A DISCRETE INTRODUCTION! With a clear presentation, the mathematics text teaches you not only how to write proofs, but how to think clearly and present cases logically beyond this course. Though it is presented from a mathematician's perspective, you will learn the importance of discrete mathematics in the fields of computer science, engineering, probability, statistics, operations research, and other areas of applied mathematics. Tools such hints and proof templates prepare you to succeed in this course.
Product Details
ISBN-13: 9780840049421
Publisher: Cengage Learning
Publication date: 3/1/2012
Edition number: 3
Pages: 624
Sales rank: 157,523
Product dimensions: 8.40 (w) x 11.00 (h) x 0.90 (d)
Meet the Author
Edward R. Scheinerman is Professor in the Department of Applied Mathematics and Statistics at The Johns Hopkins University. Dr. Scheinerman's research interests include discrete mathematics; especially graph theory, partially ordered sets, random graphs, and combinatorics, as well as applications to robotics and networks
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6 Basic trigonometry Units, significant figures and scientific notation Simultaneous equationsD Solving simple equations with one unknown Changing the subject of an equationB Simplifying algebraic expressions Why use algebra?olving equations using algebraic techniques Indices PreambleDrawing ideas together continuationvaluating strategy and presenting outcomesActivity: Developing your strategy for usingWorking on
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Advanced Engineering Mathematics With Mathematica and MATLAB: Volume I and II
Designed for a junior- or senior-level course, this book utilizes MATLAB and the Symbolic Math Toolbox to present the basic tools of mathematics as they apply to formulating and solving problems in fluid dynamics, solid mechanics, and electromagnetism. Volume I provides an introduction to MATLAB and ODEs and discusses linear differential equations of higher order, Laplace transform and differential equations, applied linear algebra, and systems of differential equations. Volume II provides an introduction to vector calculus and complex variables and discusses Laplace's equation, integral theorems of vector calculus, equations of motion and fluids, PDEs, Fourier series and PDEs, Fourier transformation, and Laplace transform and PDEs. MATLAB and the Symbolic Math Toolbox are used in examples and projects throughout the text.
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Casella and Berger's new edition builds the theoretical statistics from the first principals of probability theory. Thoroughly and completely, the authors start with the basics of probability and then move on to develop the theory of statistical inference using techniques, definitions, and statistical concepts.
Suitable for a two-semester applied calculus or combined finite mathematics and applied calculus course, this book features environmental science and economic applications. It offers a review of algebra to prepare students with different backgrounds for the material in later chapters.
Bridging between general and algebraic topology courses, this text begins with set theory, moves on to a thorough treatment of topological spaces, then explores connectedness and compactness. Exercises are varied in difficulty from the routine to the challenging.
Contemporary Abstract Algebra 7/e provides a solid introduction to the traditional topics in abstract algebra while conveying to students that it is a contemporary subject used daily by working mathematicians, computer scientists, physicists, and chemists. The text includes numerous figures, tables, photographs, charts, biographies, computer exercises, and suggested readings giving the subject ...(view full description)
Linear algebra is the study of vector spaces and the linear maps between them. It underlies much of modern mathematics and is widely used in applications. Written for students with some mathematical maturity and an interest in abstraction and formal reasoning, this book is suitable for an advanced undergraduate course in linear algebra.
An Introduction to the Theory of Analytic Functions of One Complex Variable
by: Lars V. Ahlfors
$184.45
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Edition: 3
Publication Date: 01/12/1978
ISBN: 9780070006577
Hardback: 345 pages
Published In: United States
A source of information of functions of one complex variable, this text features a brief section on the change of length and area under conformal mapping, and introduces readers to the terminology of germs and sheaves while emphasizing that classical concepts are the backbone of the theory.
A comprehensive text on the philosophy of model-based data analysis and strategy for the analysis of empirical data. It introduces information theoretic approaches and focuses critical attention on a priori modeling and the selection of a good approximating model that best represents the inference supported by the data.
A sequel to "Introduction to Topological Manifolds". This title includes explanations, diagrams and exemplary motivation, short preliminary sections before each section explaining what is ahead and why.
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Mathematics - Algebra (529 results)
The purpose of this book, as implied in the introduction, is as follows: to obtain a vital, modern scholarly course in introductory mathematics that may serve to give such careful training in quantitative thinking and expression as well-informed citizens of a democracy should possess. It is, of course, not asserted that this ideal has been attained. Our achievements are not the measure of our desires to improve the situation. There is still a very large "safety factor of dead wood" in this text. The material purposes to present such simple and significant principles of algebra, geometry, trigonometry, practical drawing, and statistics, along with a few elementary notions of other mathematical subjects, the whole involving numerous and rigorous applications of arithmetic, as the average man (more accurately the modal man) is likely to remember and to use. There is here an attempt to teach pupils things worth knowing and to discipline them rigorously in things worth doing.<br><br>The argument for a thorough reorganization need not be stated here in great detail. But it will be helpful to enumerate some of the major errors of secondary-mathematics instruction in current practice and to indicate briefly how this work attempts to improve the situation. The following serve to illustrate its purpose and program:<br><br>1. The conventional first-year algebra course is characterized by excessive formalism; and there is much drill work largely on nonessentials.
The present work contains a full and complete treatment of the topics usually included in an Elementary Algebra. The author has endeavored to prepare a course sufficiently advanced for the best High Schools and Academies, and at the same time adapted to the requirements of those who are preparing for admission to college.<br><br>Particular attention has been given to the selection of examples and problems, a sufficient number of which have been given to afford ample practice in the ordinary processes of Algebra, especially in such as are most likely to be met with in the higher branches of mathematics. Problems of a character too difficult for the average student have been purposely excluded, and great care has been taken to obtain accuracy in the answers.<br><br>The author acknowledges his obligations to the elementary text-books of Todhunter and Hamblin Smith, from which much material and many of the examples and problems have been derived. He also desires to express his thanks for the assistance which he has received from experienced teachers, in the way of suggestions of practical value.
This text is prepared to meet the needs of the student who will continue his mathematics as far as the calculus, and is written in the spirit of applied mathematics. This does not imply that algebra for the engineer is a different subject from algebra for the college man or for the secondary student who is prepared to take such a course. In fact, the topics which the engineer must emphasize, such as numerical computations, checks, graphical methods, use of tables, and the solution of specific problems, are among the most vital features of the subject for any student. But important as these topics are, they do not comprise the substance of algebra, which enables it to serve as part of the foundation for future work. Rather they furnish an atmosphere in which that foundation may be well and intelligently laid.<br><br>The concise review contained in the first chapter covers the topics which have direct bearing on the work which follows. No attempt is made to repeat all of the definitions of elementary algebra. It is assumed that the student retains a certain residue from his earlier study of the subject.<br><br>The quadratic equation is treated with unusual care and thoroughness. This is done not only for the purpose of review, but because a mastery of the theory of this equation is absolutely necessary for effective work in analytic geometry and calculus. Furthermore, a student who is well grounded in this particular is in a position to appreciate the methods and results of the theory of the general equation with a minimum of effort.<br><br>The theory of equations forms the keystone of most courses in higher algebra. The chapter on this subject is developed gradually, and yet with pointed directness, in the hope that the processes which students often perform in a perfunctory manner will take on additional life and interest.
Florian Cajori's A History of Mathematics is a seminal work in American mathematics. The book is a summary of the study of mathematics from antiquity through World War I, exploring the evolution of advanced mathematics. As the first history of mathematics published in the United States, it has an important place in the libraries of scholars and universities. A History of Mathematics is a history of mathematics, mathematicians, equations and theories; it is not a textbook, and the early chapters do not demand a thorough understanding of mathematical concepts. The book starts with the use of mathematics in antiquity, including contributions by the Babylonians, Egyptians, Greeks and Romans. The sections on the Greek schools of thought are very readable for anyone who wants to know more about Greek arithmetic and geometry. Cajori explains the advances by Indians and Arabs during the Middle Ages, explaining how those regions were the custodians of mathematics while Europe was in the intellectual dark ages. Many interesting mathematicians and their discoveries and theories are discussed, with the text becoming more technical as it moves through Modern Europe, which encompasses discussion of the Renaissance, Descartes, Newton, Euler, LaGrange and Laplace. The final section of the book covers developments in the late 19th and early 20th Centuries. Cajori describes the state of synthetic geometry, analytic geometry, algebra, analytics and applied mathematics. Readers who are not mathematicians can learn much from this book, but the advanced chapters may be easier to understand if one has background in the subject matter. Readers will want to have A History of Mathematics on their bookshelves.
Bringing to life the joys and difficulties of mathematics this book is a must read for anyone with a love of puzzles, a head for figures or who is considering further study of mathematics. On the Study and Difficulties of Mathematics is a book written by accomplished mathematician Augustus De Morgan. Now republished by Forgotten Books, De Morgan discusses many different branches of the subject in some detail. He doesn't shy away from complexity but is always entertaining. One purpose of De Morgan's book is to serve as a guide for students of mathematics in selecting the most appropriate course of study as well as to identify the most challenging mental concepts a devoted learner will face. "No person commences the study of mathematics without soon discovering that it is of a very different nature from those to which he has been accustomed," states De Morgan in his introduction. The book is divided into chapters, each of which is devoted to a different mathematical concept. From the elementary rules of arithmetic, to the study of algebra, to geometrical reasoning, De Morgan touches on all of the concepts a math learner must master in order to find success in the field. While a brilliant mathematician in his own right, De Morgan's greatest skill may have been as a teacher. On the Study and Difficulties of Mathematics is a well written treatise that is concise in its explanations but broad in its scope while remaining interesting even for the layman. On the Study and Difficulties of Mathematics is an exceptional book. Serious students of mathematics would be wise to read De Morgan's work and will certainly be better mathematicians for it.
Francis William Newman was an emeritus professor of University College in London and an honorary fellow of Worcester College, Oxford. Considered quite the renaissance man, Newman's interests ranged wildly, from writings on philosophy, English reforms, Arabic, diet, grammar, political economy, Austrian Politics, Roman History, and math. He wrote at length on every subject he found of interest, and this book, Mathematical Tracts is a testament to his very successful career as a mathematician and his eloquence as an impassioned author. At its core, this book explores many of the basics theorems and principles behind geometry, aimed at the budding mathematician to encourage interest and educate. A wonderful beginners guide, but also an interesting read for anyone wanting to refresh their foundational knowledge in geometry, this book is an easy to understand and approachable guide to mathematics. After establishing the basics, this book goes in-depth on many geometrical concepts such as the treatment of ration between quantities incommensurable and primary ideas of the sphere and circle. Newman's vast knowledge of mathematics is put to excellent use in this text, expounding on mathematical concepts and explaining them with such clarity that regardless of prior mathematical knowledge, the reader is guaranteed to understand the concepts. Newman highlights a variety of shapes such as pyramids and cones in their geometric context and explains their mathematical significance. He also expands the reader's understanding of parallel straight lines and the infinite area of a plane angle, and ends the book with a plethora of tables and helpful mathematical examples intended to further clarify the core concepts of the text. Truly a one of a kind, Mathematical Tracts is the perfect book for anyone interested in mathematics. Whether you're an early learner or a seasoned professional, you will find new information that is communicated in such a passionate and compelling way that it is impossible not to be enthused and excited about the topic. An incredibly approachable book laden with mathematical concepts that are made both interesting and exciting by the overwhelming passion of the author, this book is highly recommended for all readers.
UrOED Junior UNIVEl Preface. The object of this work is to give a complete course in all those portions of Algebra which are required in our best High School, Academies, and Normal Schools, and at the same time to meet the requirements of students preparing for admission to college. In the preparation of this work the aim has been to make the transition from Arithmetic to Algebra a natural and easy process; to illustrate and discuss each subject with clearness and sufficient fullness; and to so grade the exercises that the beginner will take up each new topic with increased pleasure and profit, and feel that he is both gaining power and mastering the subject. Great care has been taken in the selection of examples neither to make them too difficult, and thus discourage the pupil, nor too easy, and thus deprive him of the power that comes from patient effort. All such problems as merely consume time and do not develop power have been carefully omitted, and yet a sufficient number of well-graded examples will be found under each subject to fix it permanently in the mind of the student.
A Treatise on Refrigerating and Ice-Making Machinery is published and printed by the International Correspondence Schools. This publication is essentially a course packet including a series of informational texts intended to educate the reader on the subject of refrigeration and ice-making machinery at the turn of the twentieth century. With that in mind, the book does not only address mechanics and engineering, it also highlights information on mathematics, chemistry and mechanical drawing. This is a great starter book for anyone interested on the topics of refrigeration and twentieth century mechanical engineering. The text contains a vast array of mechanical information and includes extra content on pneumatics, heat, steam, and steam engines. The book also contains a series of questionnaires and quizzes (along with the answers) for the reader to test themselves on their knowledge of the subjects presented within the text. This book covers such a bevy of practical information that an individual could feasibly utilize it to learn elementary algebra and trigonometric functions, arithmetic, logarithms, and elementary mechanics. The book also contains a full list of definitions for the topics explored within the text and a complete index for the reader to reference when looking for specific topic to explore. A Treatise on Refrigerating and Ice-Making Machinery is an engaging and informative exploration of mechanical principles and engineering education. This book is an educational read for anyone interested in elementary studies or more complex engineering and physics topics. This publication establishes a good basic level of understanding that can be expanded upon in books with more advanced content.
The author of this treatise has endeavored to prepare a work which should sufficiently exercise the ability of most learners, without becoming, at the same time, repulsive to them by being excessively abstract. Some writers err in expecting too much, and others err, in an equal degree, by requiring too little of the student. What success has attended an attempt to attain a proper medium it is left for competent teachers to decide.<br><br>This work commences in the inductive manner, because that mode is most attractive to beginners. As the learner advances, and acquires strength to grapple with it, he meets with the more rigorous kind of demonstration. This course seems the most natural and effective. Induction is excellent in its place ; but when an attempt is made to carry it into all the departments of an exact science, the result often shows, that the main object of study was misapprehended. The young frequently fail to deduce clearly the general principle from the particular instances which have engaged their attention.<br><br>Several parts of algebra, which are either omitted or not explained with sufficient distinctness in other works, have received particular attention in this. These parts treat of principles and operations, with which students rarely become familiar, but which are essential to a clear comprehension of the subject. Among these operations may be mentioned the separation of quantities into factors, finding the divisors of quantities, and the substitution of numbers in algebraic so mulæ.
The orientalists who exploited Indian history and literature about a century ago were not always perfect in their methods of investigation and consequently promulgated many errors. Gradually, however, sounder methods have obtained and we are now able to see the facts in more correct perspective. In particular the early chronology has been largely revised and the revision in some instances has important bearings on the history of mathematics and allied subjects. According to orthodox Hindu tradition the Surya Siddhanta, the most important Indian astronomical work, was composed over two million years ago! Bailly, towards the end of the eighteenth century, considered that Indian astronomy had been founded on accurate observations made thousands of years before the Christian era. Laplace, basing his arguments on figures given by Bailly considered that some 3,000 years B. C. the Indian astronomers had recorded actual observations of the planets correct to one second; Playfair eloquently supported Bailly's views; Sir William Jones argued that correct observations must have been made at least as early as 1181 B. C.; and so on; but with the researches of Colebrooke, Whitney, Weber, Thibaut, and others more correct views were introduced and it was proved that the records used by Bailly were quite modern and that the actual period of the composition of the original Surya Siddhanta was not earliar than A. D. 400.<br><br>It may, indeed, be generally stated that the tendency of the early orientalists was towards antedating and this tendency is exhibited in discussions connected with two notable works, the Sulvasutras and the Bakhshali arithmetic, the dates of which are not even yet definitely fixed.
The Directly-Useful Technical Series requires a few words by of introduction. Technical books of the past have arranged themselves largely under two sections: the Theoretical and the Practical and the exercises are to be of a directly-useful small volume contains what remains of the course in Algebra, after matriculation, to the students in the Colleges of Civil Engineering, Mines, and Mechanic Arts in the University of California. It is intended as a continuation of the excellent work on algebra by Mr. John B.Clarke, of the Mathematical Department of the University; and it is thought it will, in connection with Clarkes Algebra, or with any work of similar scope, furnish a good and sufficient preparation for those who intend to pursue the higher mathematics. The constant aim and endeavor throughout has been so to present the various topics discussed as to render them easy of comprehension by the undergraduate student. Wm. T.Welcker. Berkeley, Caxifornia, July, 1880.
Isaac Todhunter's Algebra for Beginners: With Numerous Examples is a mathematics textbook intended for the neophyte, an excellent addition to the library of math instructionals for beginners. Todhunter's textbook has been divided into 44 chapters. Early chapters highlight the most basic principles of mathematics, including sections on the principal signs, brackets, addition, subtraction, multiplication, division, and other topics that form the foundation of algebra. Simple equations make up the large majority of the material covered in this textbook. Later chapters do introduce quadratics, as well as other more advanced subjects such as arithmetical progression and scales of notation. It is important to note that Todhunter sticks very much to the basics of algebra. The content of this book lives up to its title, as this is very much mathematics for beginners. The content is provided in an easy to follow manner. This book could thus be used for independent learning as well as by a teacher. A great deal of focus has clearly been given to providing examples. Each concept is accompanied by numerous sample questions, with answers provided in the final chapter of the book. The example questions are every bit as important as the explanations, as one cannot begin to grasp mathematical concepts without having the opportunity to put them into practice. The basics of algebra are explained in an easy to follow manner, and the examples provided are clear and help to expand the knowledge of the learner. If given a chance, Isaac Todhunter's Algebra for Beginners: With Numerous Examples can be a valuable addition to your library of mathematics textbooks dycwfUrprfros, as wanting in one of the most essential qualifications for the successful cultivation of the higher branches of philosophy. John Stuart Mill: System of Logic, Je me plaisais surtout aux mathmatiques, cause de la certitude et de PEvidence de leurs raisons; mais je ne remarquais point encore leur vrai usage, et, pensant qu elles ne servaient qu aux arts m6caniques, jem etonnais de ce que, leur fondements 6 tant si fermes etsi solides, on navait rien bti dessus de plus relev 6. Descartes: Discours sur la Mithode, 1687 dyeujJrpriTos, as wanting in one of the most essential qualifications for the successful cultivation of the higher branches of philosophy. John Stuart Mill: System of Logic. Je me plaisais surtout aux mathtoatiques, kcause de la certitude et de PEvidence de leurs raisons; mais je ne remarquais point encore leur vrai usage, et, pensant qu elles ne servaient qu aux arts mcaniques, je metonnais de ce que, leur fondements Stant si fermes etsi solides, on navait rien bSti dessus de plus relev 6. Descartes: Discours sur la Methode, 1637.
The present work is an attempt to supply a want wliich we have long felt ourselves, and which we believe to be Zshared by many experienced teachers. vIn setting before a beginner the real and perplexing difficulties of elementary Algebra, there is some fear lest first lessons should degenerate into a mere mechanical manipulation of symbols, uninteresting and uninstructive, because little understood. This well known danger led us to devote special thought to the question of order; to consider, in short, what succession of the various parts of the subject would best illustrate its bearings at an early stage; and we have finally adopted an arrangement, which if it varies somewhat from the common use of elementary text-books is at least based upon the experience of many years, and embodies the result of frequent consultation with our colleagues and other teachers.
The Directly Useful Technical Series requires a few words by way of introduction. Technical books of the past have arranged themselves largely under two sections: the theoretical and the practical, and the exercises are to be of a directly useful work is designed as a text-book in universities, colleges, and technical schools, the first fifteen chapters being also adapted to use in high schools and academies by students who have some knowledge of elementary algebra.<br><br>The demonstrations constitute one of the characteristic features of the book. While most of our text-books on Algebra state with great clearness the theorems and rules, few of them, especially in the earlier parts, give the demonstrations in a way that enables a student to reproduce them. Usually illustration, explanation, and general demonstration are so intermingled that the student is not able to gather up and give in logical form just what constitutes the proof. In this work the plan is that which gives so much definiteness to our teaching in Geometry: each general principle is followed by a concise, logical demonstration, containing only the reasoning necessary to establish it, while all illustrations and explanations by special cases are given in separate articles. The student thus soon learns to know what is demanded in a general proof, and to distinguish between rigorous demonstration and verification or illustration by a special case. Without any loss of conclusiveness in reasoning, the methods employed have permitted, in many cases, much shorter and more easily followed demonstrations than those usually given.<br><br>Another characteristic feature is the substitution of short processes for many of the long and tedious ones in common use. As mathematical operations, at best, involve much drudgery, all practical means of shortening the work should be made available to the student. The few short processes given in our text-books are reserved until the student has formed a habit of using the long processes, and, consequently, he never gains a practical use of even these few.
Teacher's Manual for First-Year Mathematics is a book written by George William Myers, a Professor of the Teaching of Mathematics and Astronomy at the University of Chicago. The book is intended as a teaching manual for teachers instructing their students using a textbook called First Year Mathematics. Myers' book is intended as a companion piece to the textbook First Year Mathematics, released by the same publishing company, The University of Chicago Press. The book makes effort to assist the teacher by providing them with a detailed how-to regarding teaching the specific problems presented in the textbook. Teacher's Manual is presented in chapters, each corresponding to a chapter in First Year Mathematics. Specific references are made to page numbers and problems presented in the textbook. In total, the book contains fourteen different chapters. Teacher's Manual for First-Tear Mathematics can only be used in conjunction with the appropriate textbook. Without access to First Year Mathematics, the book is of no use. It is however an excellent companion piece to the textbook, and those able to access the original textbook will surely find this text to be highly beneficial. While a well-written teacher's manual, George William Myers' book assumes the reader has access to the original textbook. If you are interested in making use of this manual, do ensure that you are also able to access First Year Mathematics.
This book - embodying the substance of Lectures at Teachers' Associations - has been prepared at the almost unanimous request of the teachers of Ontario, who have long felt the need of a work to supplement the elementary text-books in common use. The following are some of its special features:<br><br>It gives a large number of solutions in illustration of the best methods of algebraic resolution and reduction, some of which are not found in any text-book.<br><br>It gives, classified under proper heads and preceded by type-solutions, a great number of exercises, many of them illustrating methods and principles which are unaccountably ignored in elementary Algebras.<br><br>It presents these solutions and exercises in such a way that the student not only sees how Algebraic transformations are effected, but also perceives how to form for himself as many additional examples as he may desire.<br><br>It shows the student how simple principles with which he is quite familiar, may be applied to the solution of questions which he has thought beyond their reach.<br><br>It gives complete explanations and illustrations of important topics which are strangely omitted or barely touched upon in the ordinary books, such as the Principle of Symmetry, Theory of Divisors, Factoring, Applications of Horner's Division, &c.
This tract is intended to give an account of the theory of equations according to the ideas of Galois. The conspicuous merit of this method is that it analyses, so far as exact algebraical processes permit, the set of roots possessed by any given numerical equation. To appreciate it properly it is necessary to bear constantly in mind the difference between equalities in value and identities or equivalences in form; I hope that this has been made sufficiently clear in the text. The method of Abel has not been discussed, because it is neither so clear nor so precise as that of Galois, and the space thus gained has been filled up with examples and illustrations.<br><br>More than to any other treatise, I feel indebted to Professor H. Weber's invaluable Algebra, where students who are interested in the arithmetical branch of the subject will find a discussion of various types of equations, which, for lack of space, I have been compelled to omit.<br><br>I am obliged to Mr Morris Owen, a student of the University College of North Wales, for helping me by verifying some long calculations which had to be made in connexion with Art. 52.
Nevertheless, it is by no means true that we are without interest in the higher, technical, mathematical field. On the contrary, we have an interest that is far more vital than the mere supplying of technical papers which can be read only by specialists. We believe that large numbers who would become active and effective in higher mathematical research are now lost to the cause simply by reason of the fact that there are no intermediate steps up which they can climb to these heights. We believe that the Monthly has a mission to perform in holding the interest of such persons by providing mathematical literature of a stimulating character that is within their range of comprehension, and by offering an appropriate medium for the publication of worthy papers which the more ambitious among them may produce.<br><br>What we have tried to do. Having in mind the principles stated above we have during 1913 supplied 325 pages of matter, exclusive of the index to Volume XX, distributed as follows: papers involving subjects of historical interest, 87 pages; papers involving general information concerning the progress of mathematics, such as meetings of associations, book reviews, notes and news, 57 pages; topics involving pedagogical considerations, especially with regard to subject matter, 37 pages; papers involving a minimum of mathematical technicalities and dealing with topics of wide interest, 56 pages; papers of a somewhat more technical character in which, however, we have tried to have the technical terms explained for the benefit of the general reader, 38 pages; problems proposed and solved and miscellaneous questions involving difficulties actually encountered by our readers, 50 pages. We have thus tried to maintain an appropriate balancing of matter so as to conserve the interests of all our readers.<br><br>What we desire to do during the coming year. During 1914 it will be our endeavor to maintain the standards already established and to improve upon the past in every way possible. In order to do this we need the cooperation and constructive criticism of all our friends. For example, a certain reader whose opinion is greatly appreciated thinks that we should have more papers on topics in applied mathematics, and he immediately backs up his opinion by sending us a contribution which will appear in the March issue. That is what we mean by cooperation. The editors have no possible interest in this undertaking which should not appeal directly to every one who is really concerned for the development of mathematics in this country. Their responsibilities and burdens are self-imposed and without emolument, save for the satisfaction which may accrue from aiding in a cause in which they heartily believe. It is their ambition to make the Monthly render genuine service to every teacher of courses in college mathematics in this country, whether in academy, high school, normal school, college, or university; to stimulate to higher endeavor every student of mathematics, whether in school or not, who may be attracted by the papers, problems, questions or discussions published in the Monthly; and to win and hold the cooperation of all who can in any department render assistance in carrying out these plans.
The Principles of Mathematics: Vol. 1 is a terrific introduction to the fundamental concepts of mathematics. Although the book's title involves mathematics, it is not a textbook packed with equations and theorems. Instead philosopher Bertrand Russell uses mathematics to explore the structure of logic. Russell's ultimate point is that mathematics is logic and logic itself is truth. The book is substantial and covers all subjects of mathematics. It is divided into seven sections: indefinables in mathematics, number, quantity, order, infinity and continuity, space, matter and motion. Russell covers all the major developments of mathematics and the contributions of important figures to the field. His sharp mind is evident throughout The Principles of Mathematics, as he challenges established rules and teachers readers how to think through difficult problems using logic. Russell was one of the great minds of the 20th Century. In this book he discusses how his ideas were influenced by the logician Peano. He also debates other philosophers and mathematicians, and even anticipates the Theory of Relativity, which had not yet been published by Einstein. One does not need to love mathematics to gain insights from The Principles of Mathematics: Vol. 1. Those who are interested in logic, intellectualism, philosophy or history will find significant insights into logical principles. Readers who desire an intellectual challenge will truly enjoy The Principles of Mathematics: Vol. 1.
Bertrand Russell was a British logician, nobleman, historian, social critic, philosopher, and mathematician. Known as one of the founders of analytic philosophy, Russell was considered the premier logician of the 20th century and widely admired and respected for his academic work. In his lifetime, Russell published dozens of books in wildly varying fields: philosophy, politics, logic, science, religion, and psychology, among which The Principles of Mathematics was one of the first published and remains one of the more widely known. Although remembered most prominently as a philosopher, he identified as a mathematician and a logician at heart, admitting in his own biography that his love of mathematics as a child kept him going through some of his darkest moments and gave him the will to live. With his book The Principles of Mathematics, Russell aims to instill the same deep seated passion for mathematics and logic that he has carefully cultivated in the reader. He adeptly explores mathematical problems in a logical context, and attempts to prove that the study of mathematics holds critical importance to philosophy and philosophers. Russell utilizes the text to explore the some of the most fundamental concepts of mathematics, and expounds on how these building blocks can easily be applied to philosophy. In the second part of the book, Bertrand addresses mathematicians directly, discussing arithmetic and geometry principles through the lens of logic, offering yet another unique and groundbreaking interpretation of a field long before considered static. This book affords new insight and application for many basic mathematical concepts, both in roots of and application to other fields of scholarly pursuit. Russell uses his book to establish a baseline of mathematical understanding and then expands upon that baseline to establish larger and more complex ideas about the world of mathematics and its connections to other fields of personal interest. The Principles of Mathematics is a very captivating glimpse into the logic and rational of one of history's greatest thinkers. Whether you're a mathematician at heart, a logician, or someone interested in the life and thoughts of Bertrand Russell, this book is for you. With an incredible amount of information on mathematics, philosophy, and logic, this text inspires the reader to learn more and discover the ways in which these very disparate fields can interconnect and create new possibilities at their intersections.
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Mathematics for Technical Employees
by Martin Nahemow, LRDC, University of Pittsburgh
There is a lot of talk these days about integrating the learning of
mathematics with technical education through joint efforts by mathematics
and technical faculty. The challenges are a lot like those in Bosnia:
deep basic lack of trust and understanding between people who are really
not that different from each other, yet each side believes that it is all
right that others die rather than that they compromise their own beliefs.
Change starts by getting educators, parents, and students to accept that
academic disciplines are a semantic artifact created by academicians and
have no other reality. More and more world class companies are relying on
self-directed, cross-trained, interdisciplinary teams to compete.
The starting point for the training of workers in these companies is
understanding of and agreement on shared goals. What are the goals for
the education of young people? I hope we can agree that a critical
goal is that they be prepared to compete successfully in the job market,
that "successfully" means meeting both financial and personal goals, but
that there are also social, family, and individual goals to achieve
outside the work world.
Now consider that half the youths will not go to college. What level of
understanding and ability to apply mathematics to what kind of problems do
they need to meet their life goals? This is what we must assure that all
students achieve. Of the half that go to college, half never graduate.
So the next question is: Do they need something different and, if they do,
how do we assure that they have the opportunity to build on foundation
skills for that additional knowledge?
Then we have the quarter of the youths who will finish college. What
goals do we need for them? Lastly there is the small percent who will use
advanced mathematics in their careers. The needs of this group to meet
their goals cannot be allowed to drive the curriculum for the rest.
If you look at the secondary school mathematics curricula in Denmark and
Holland, good examples can be found of going from contextual real-world
problems to basic mathematical principles in ways that assure that all
students learn the practical, contextual side of mathematics without
depriving anyone of the opportunity to learn the mathematics itself.
Martin Nahemow is Director of School-to-Work Programs at the Learning
Research Development Center (LRDC) at the University of Pittsburgh. He
can be reached by e-mail at nahemo@pop.pitt.edu.
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This text presents geometry in an exemplary, accessible and attractive form. The book emphasizes both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. The book also teaches the student fundamental concepts and the difference between important reults and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course. There are many examples and 4, 2005
An unorthodox high school geometry text.
Most high school geometry texts are based on the presentation in Euclid's Elements. They state his postulates (axioms) and common notions in modern language, then proceed to develop the subject along the lines Euclid did (no pun intended). The authors of this text opted not to do that. They introduce their own postulates, from which they develop the material they cover. They omit some of the material that appears in other texts, such as inequalites, theorems about circles, and the concurrence theorems. Instead they include material on dilations, vectors, the dot product, transformations, and isometries. They introduce coordinate geometry early in the text, allowing them to use algebraic arguments throughout. Also, proofs are presented in the paragraph form used by mathematicians rather than the two-column format favored by geometry teachers for pedagogical reasons. The text covers distance and angles, coordinates, area, the Pythagorean Theorem, the distance formula, right triangles, polygons, congruent triangles, dilations and similarities, volumes, vectors and the dot product, transformations, and isometries. The material at the end of the text, which concludes with a proof that any isometry can be expressed as the composition of at most three reflections, is fascinating. The problems are interesting and, for the most part, tractable. A couple problems, one involving the use of similar triangles and the other based on the Side-Angle-Side congruence postulate for triangles, are introduced before the relevant topics are. There are no answers in the text, but a solution manual written by Philip Carlson is available separately. There are some errors in the text, including a triangle whose three vertices are collinear. Some of the terminology and notation used in the text is idiosyncratic, limiting its usefulness as a reference. I recommend using this text as a supplement after working through a standard text so that you can build on what you have already learned and are familiar with standard terminology and notation.
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