Title: How to Think Like a Mathematician: A Companion to Undergraduate Mathematics
Publisher: Cambridge University Press
Publication Date: 2009
Language: English
ISBN 10: 052171978X
ISBN 13: 9780521719780
Binding: Soft cover
Edition: 1st Edition
Condition: Near Fine

About this title

Synopsis

Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.

About the Author

Kevin Houston is Senior Lecturer in Mathematics at the University of Leeds.

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