How to Prove It: A Structured Approach - Softcover

Velleman, Daniel J.

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9781108439534: How to Prove It: A Structured Approach
Softcover
ISBN 10: 1108439535 ISBN 13: 9781108439534
Publisher: Cambridge University Press, 2019

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.

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About the Author

Daniel J. Velleman is Julian H. Gibbs '46 Professor of Mathematics, Emeritus at Amherst College, and was a professor at Amherst College from 1983 to 2017. He received his B.A. from Dartmouth College in 1976, and his Ph.D. from the University of Wisconsin, Madison in 1980. His other books include Which Way Did the Bicycle Go? (with Stan Wagon and Joe Konhauser, 1996), Philosophies of Mathematics (with Alexander George, 2002), and Calculus: A Rigorous First Course (2016). Among his awards and distinctions are the Chauvenet Prize, the Paul R. Halmos–Lester R. Ford Award, the Carl B. Allendoerfer Award, and the Chandler Davis Prize for Expository Excellence. He was Editor of Dolciani Mathematical Expositions from 1999 to 2004 and the American Mathematical Monthly from 2007 to 2011.

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Publisher
Cambridge University Press
Publication date
2019
Language
English
ISBN 10 
1108439535
ISBN 13 
9781108439534
Binding
Paperback
Edition number
3
Number of pages
468
Rating
  • 4.30 out of 5 stars
    1,007 ratings by Goodreads

Other Popular Editions of the Same Title

9781108424189: How to Prove It: A Structured Approach

Featured Edition

ISBN 10:  110842418X ISBN 13:  9781108424189
Publisher: Cambridge University Press, 2019
Hardcover