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How to Prove It: A Structured Approach - Hardcover

 
9780521861243: How to Prove It: A Structured Approach

Synopsis

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

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Review

'The book begins with the basic concepts of logic and theory ... These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. No background standard in high scholl mathematics is assumed.' L'Enseignement Mathématique

Book Description

Daniel J. Velleman's lively text prepares students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. This new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.

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  • PublisherCambridge University Press
  • Publication date2006
  • ISBN 10 0521861241
  • ISBN 13 9780521861243
  • BindingHardcover
  • LanguageEnglish
  • Edition number2
  • Number of pages400

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9780521675994: How to Prove It: A Structured Approach

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Velleman, Daniel J.
Published by Cambridge University Press, 2006
ISBN 10: 0521861241 ISBN 13: 9780521861243
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Velleman, Daniel J.
Published by Cambridge University Press, 2006
ISBN 10: 0521861241 ISBN 13: 9780521861243
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Condition: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,750grams, ISBN:0521861241. Seller Inventory # 7082744

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Velleman, Daniel J.
Published by Cambridge University Press, 2006
ISBN 10: 0521861241 ISBN 13: 9780521861243
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