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How to Prove It : A Structured Approach by Daniel J. Velleman, 3rd edtion

US $80.00
ApproximatelyC $110.50
Condition:
Very Good
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eBay item number:226719798754
Last updated on Apr 25, 2025 21:01:17 EDTView all revisionsView all revisions

Item specifics

Condition
Very Good: A book that does not look new and has been read but is in excellent condition. No obvious ...
ISBN
9781108424189

About this product

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
110842418X
ISBN-13
9781108424189
eBay Product ID (ePID)
26038521370

Product Key Features

Number of Pages
468 Pages
Language
English
Publication Name
How to Prove It : a Structured Approach
Subject
General, Logic
Publication Year
2019
Features
Revised
Type
Textbook
Author
Daniel J. Velleman
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
1 in
Item Weight
30.8 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Edition Number
3
Intended Audience
College Audience
LCCN
2019-013488
Dewey Edition
22
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
Illustrated
Yes
Dewey Decimal
511.3
Edition Description
Revised edition
Table Of Content
1. Sentential logic; 2. Quantificational logic; 3. Proofs; 4. Relations; 5. Functions; 6. Mathematical induction; 7. Number theory; 8. Infinite sets.
Synopsis
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., 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 Number
QA9.V38 2019

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