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How to Prove It A Structured Approach

ISBN-10: 0521675995

ISBN-13: 9780521675994

Edition: 2nd 2006 (Revised)

Authors: Daniel J. Velleman

List price: $37.99
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Description:

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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Book details

List price: $37.99
Edition: 2nd
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 1/16/2006
Binding: Paperback
Pages: 398
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.144
Language: English

Sentential logic
Quantificational logic
Proofs
Relations
Functions
Mathematical induction
Infinite sets