About this product

Product Identifiers

PublisherCambridge University Press

ISBN-10110842418X

ISBN-139781108424189

eBay Product ID (ePID)26038521370

Product Key Features

Number of Pages468 Pages

LanguageEnglish

Publication NameHow to Prove It : a Structured Approach

SubjectGeneral, Logic

Publication Year2019

FeaturesRevised

TypeTextbook

AuthorDaniel J. Velleman

Subject AreaMathematics

FormatHardcover

Dimensions

Item Height1 in

Item Weight30.8 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Edition Number3

Intended AudienceCollege Audience

LCCN2019-013488

Dewey Edition22

Reviews'Altogether this is an ambitious and largely very successful introduction to the writing of good proofs, laced with many good examples and exercises, and with a pleasantly informal style to make the material attractive and less daunting than the length of the book might suggest. I particularly liked the many discussions of fallacious or incomplete proofs, and the associated challenges to readers to untangle the errors in proofs and to decide for themselves whether a result is true.' Peter Giblin, University of Liverpool, The Mathematical Gazette, 'Not only does this book help students learn how to prove results, it highlights why we care so much. It starts in the introduction with some simple conjectures and gathering data, quickly disproving the first but amassing support for the second. Will that pattern persist? How can these observations lead us to a proof? The book is engagingly written, and covers - in clear and great detail - many proof techniques. There is a wealth of good exercises at various levels. I've taught problem solving before (at The Ohio State University and Williams College), and this book has been a great addition to the resources I recommend to my students.' Steven J. Miller, Williams College, Massachusetts

IllustratedYes

Dewey Decimal511.3

Edition DescriptionRevised edition

Table Of Content1. Sentential logic; 2. Quantificational logic; 3. Proofs; 4. Relations; 5. Functions; 6. Mathematical induction; 7. Number theory; 8. Infinite sets.

SynopsisProofs 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., Proofs play a central role in advanced mathematics and theoretical computer science, and this bestselling text's third edition will help students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs, with a new chapter on number theory and over 150 new exercises.

LC Classification NumberQA9.V38 2019