How to prove it: a structured approach

by Velleman, Daniel J.

Type Book

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Title Statements

Full title :How to prove it : a structured approach / Daniel J. Velleman.

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.

Edition Statements

Publication Date:2019.
Edition:Third edition

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:zxx
Publication Date:2019.

The Physical Object

Description:1 online resource (xii, 458 pages)

Edition Identifiers

ISBN:9781108539890, 1108539890
oclc:on1112495950
LC Classification:QA9
Dewey Decimal:511.3

Introduction -- Sentential logic -- Quantificational logic -- Proofs -- Relations -- Functions -- Mathematical induction -- Number theory -- Infinite sets -- Appendix.

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