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How to Prove It: A Structured Approach by Daniel J Velleman: New

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Item specifics

Condition
Brand new: A new, unread, unused book in perfect condition with no missing or damaged pages. See the ...
Book Title
How to Prove It: A Structured Approach
Publication Date
2019-07-18
Edition Number
3
Pages
468
ISBN
1108439535
Subject Area
Mathematics
Publication Name
How to Prove It : a Structured Approach
Item Length
8.9 in
Publisher
Cambridge University Press
Subject
General, Logic
Publication Year
2019
Type
Textbook
Format
Trade Paperback
Language
English
Item Height
0.9 in
Author
Daniel J. Velleman
Features
Revised
Item Width
6 in
Item Weight
26.9 Oz
Number of Pages
468 Pages

About this product

Product Information

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.

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
1108439535
ISBN-13
9781108439534
eBay Product ID (ePID)
17038447473

Product Key Features

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

Dimensions

Item Length
8.9 in
Item Height
0.9 in
Item Width
6 in
Item Weight
26.9 Oz

Additional Product Features

Edition Number
3
LCCN
2019-013488
Intended Audience
College Audience
Lc Classification Number
Qa9.V38 2019
Edition Description
Revised Edition
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
Table of Content
1. Sentential logic; 2. Quantificational logic; 3. Proofs; 4. Relations; 5. Functions; 6. Mathematical induction; 7. Number theory; 8. Infinite sets.
Copyright Date
2019
Dewey Decimal
511.3
Dewey Edition
22
Illustrated
Yes

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AlibrisBooks

AlibrisBooks

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