How to Prove It
A Structured Approach
3rd Edition
c.$37.99 ( )
 Author: Daniel J. Velleman, Amherst College, Massachusetts
 Publication planned for: September 2019
 availability: Not yet published  available from September 2019
 format: Paperback
 isbn: 9781108439534
c.$
37.99
( )
Paperback

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text's third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of 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 an analysis of techniques that can be used to build up complex proofs step by step, using detailed 'scratch work' sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians.
Read more Perfect for selfstudy, an introduction to proofs course, or as a supplementary text for a discrete mathematics course or foundations of computing course
 Systematic and thorough, showing how several techniques can be combined to construct a complex proof
 Covers logic, set theory, relations, functions, and cardinality
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×Product details
 Edition: 3rd Edition
 Publication planned for: September 2019
 format: Paperback
 isbn: 9781108439534
 dimensions: 228 x 152 mm
 contains: 47 b/w illus.
 availability: Not yet published  available from September 2019
Table of Contents
1. Sentential logic
2. Quantificational logic
3. Proofs
4. Relations
5. Functions
6. Mathematical induction
7. Number theory
8. Infinite sets.
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