How to Think Like a Mathematician PDF (Adobe DRM) download by Kevin Houston

How to Think Like a Mathematician

Cambridge University Press
Publication date: February 2009
ISBN: 9780511500695
Digital Book format: PDF (Adobe DRM)

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Looking for a head start in your undergraduate degree in mathematics? Maybe youÇ¿Ùve already started your degree and feel bewildered by the subject you previously loved? DonÇ¿Ùt 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 youÇ¿Ùll 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, youÇ¿Ùll soon learn how to think like a mathematician.
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