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9780521719780: How to Think Like a Mathematician: A Companion to Undergraduate Mathematics

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.

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Book Description

Looking for a head start in your undergraduate degree in mathematics? This friendly companion eases beginning students into real mathematical thinking, unlocking important techniques for effective mathematics so you can communicate with clarity, solve problems, and explore the world of definitions, theorems and proofs with real confidence.

About the Author

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

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  • PublisherCambridge University Press
  • Publication date2009
  • ISBN 10 052171978X
  • ISBN 13 9780521719780
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages274
  • Rating
    • 4.21 out of 5 stars
      286 ratings by Goodreads

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Paperback. Condition: Good +. Paperback. 9 3/4" X 7 1/2". xi, 265pp. Mild creasing, rubbing and shelf wear to covers, corners, and edges of paper wraps. Pages are clean and unmarked. Binding is sound. ABOUT THIS BOOK: 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.(Publisher). Seller Inventory # 16339

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