How to prove it: a structured approach
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 mathematic…
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- Full title :How to prove it : a structured approach / Daniel J. Velleman, Department of Mathematics and Statistics, Amherst College, Department of Mathematics and Statistics, University of Vermont.
Summary
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. -- Provided by publisher.
Read More ↓Edition Statements
- Publication Date:©2019
- Edition:Third edition
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge, United Kingdom
- Language:eng
- Publication Date:©2019
The Physical Object
- Description:xii, 458 pages : : illustrations ; : 23 cm
Edition Identifiers
- ISBN:9781108424189, 110842418X, 9781108439534, 1108439535
- oclc:on1097363744
- LC Classification:QA9
- Dewey Decimal:511.3
Table of Contents
Introduction -- Sentential logic -- Quantificational logic -- Proofs -- Relations -- Functions -- Mathematical induction -- Number theory -- Infinite sets -- Appendix.
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