How to Prove It: A Structured Approach 2nd Edition

How to Prove It: A Structured Approach 2nd Edition book cover

How to Prove It: A Structured Approach 2nd Edition

Author(s): Daniel J. Velleman (Author)

  • Publisher: Cambridge University Press
  • Publication Date: January 16, 2006
  • Edition: 2nd
  • Language: English
  • Print length: 384 pages
  • ISBN-10: 0521675995
  • ISBN-13: 9780521675994

Book Description

Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches 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. To help students 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. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

Editorial Reviews

Review

“The prose is clear and cogent … the exercises are plentiful and are pitched at the right level…. I recommend this book very highly!”
MAA Reviews

“The book provides a valuable introduction to the nuts and bolts of mathematical proofs in general.”
SIAM Review

“This is a good book, and an exceptionally good mathematics book. Thorough and clear explanations, examples, and (especially) exercised with complete solutions all contribute to make this an excellent choice for teaching yourself, or a class, about writing proofs.”
Brent Smith, SIGACT News

Book Description

This new edition of Daniel J. Velleman’s successful textbook contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.

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