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How to Prove It: A Structured Approach Paperback – 16 Jan 2006

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Product details

  • Paperback: 398 pages
  • Publisher: Cambridge University Press; 2 edition (16 Jan. 2006)
  • Language: English
  • ISBN-10: 0521675995
  • ISBN-13: 978-0521675994
  • Product Dimensions: 15.2 x 2.2 x 22.8 cm
  • Average Customer Review: 4.6 out of 5 stars  See all reviews (5 customer reviews)
  • Amazon Bestsellers Rank: 181,833 in Books (See Top 100 in Books)
  • See Complete Table of Contents

Product Description

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 mathematique

Book Description

Dan 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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9 of 9 people found the following review helpful By Hugh Janus on 11 Sept. 2010
Format: Paperback Verified Purchase
This is a beautiful introduction to proofs, propositional logic, sets, relations and functions for first year university students. It is clear that Velleman's first and only interest is to keep the reader engaged and make sure that the concepts become accessible and sink in. His style is vibrant and engaging, and I actually found myself looking forward to reading this while I was studying for part of a Computer Science exam.

That said, this book truly comes into its own if you read it cover to cover, or at the very least chapter to chapter. This is not strictly speaking a reference text, and Velleman places more emphasis on fluidity and clarity than on organising the material into neat compartments. The chapters aren't unreasonably long, however, and with a bit of dedication this book will take you a long way.
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8 of 9 people found the following review helpful By rookie on 23 Jun. 2011
Format: Kindle Edition Verified Purchase
This should be an excellent introduction to the logic and construction of mathematical proofs. However, there are far too many examples and questions that are rendered unreadable by garbled mathematical formulae. This is not acceptable. This version is only marginally cheaper than the paperback, yet contains more typographical errors in the first few pages of chapter 3 than would be acceptable in an entire mathematical text.
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1 of 1 people found the following review helpful By Mo on 2 Mar. 2013
Format: Paperback Verified Purchase
I struggled severely in my logic/discrete math course. I read a few good reviews on this book on amazon.com, and bought it. It's such an easy read, while being thorough at the same time. Everything is explained perfectly and I couldn't ask for a better book. This is one of the few books I feel should be in any computer science student's bookshelf.
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By Ken-Thomas Nilsen on 4 Dec. 2013
Format: Paperback Verified Purchase
I only read the last parts, starting from the chapter about induction, so take that into consideration.

The 'scratch work' sections are great, and this book did what other books didn't, it gave me a tactic for doing proofs. Other books show a lot of proofs and explain why the proofs are correct. That is great, but without a 'tool set' for working with proofs it is hard to know were to start when you are supposed to do them yourself. This is the only book I have read, also since, that do this deliberately and it gave me the foundations I needed to follow discrete math courses.
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By Stefan Nikolov on 9 Dec. 2014
Format: Paperback Verified Purchase
Fantastic book! Delivers on what it promises, and more ...
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