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Cambridge University Press
How to Prove It: A Structured Approach / Edition 2

How to Prove It: A Structured Approach / Edition 2

by Daniel J. Velleman


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How to Prove It: A Structured Approach / Edition 2

Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches them the techniques needed to read and write 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 a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

Product Details

ISBN-13: 9780521675994
Publisher: Cambridge University Press
Publication date: 01/16/2006
Edition description: Revised Edition
Pages: 398
Sales rank: 168,810
Product dimensions: 5.98(w) x 9.02(h) x 0.87(d)

About the Author

Daniel J. Velleman received his BA at Dartmouth College in 1976 summa cum laude, the highest distinction in mathematics. He received his PhD from the University of Wisconsin, Madison, in 1980 and was an instructor at the University of Texas, Austin, from 1980 to 1983. His other books include Which Way Did the Bicycle Go? (with Stan Wagon and Joe Konhauser, 1996) and Philosophies of Mathematics (with Alexander George, 2002). Among his awards and distinctions are the Lester R. Ford Award for the paper 'Versatile Coins' (with Istvan Szalkai, 1994), and the Carl B. Allendoerfer Award for the paper 'Permutations and Combination Locks' (with Greg Call, 1996). He has been a member of the editorial board for American Mathematical Monthly since 1997 and was Editor of Dolciani Mathematical Expositions from 1999 to 2004. He published papers in the Journal of Symbolic Logic, Annals of Pure and Applied Logic, Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society, American Mathematical Monthly, the Mathematics Magazine, the Mathematical Intelligencer, the Philosophical Review, and the American Journal of Physics.

Table of Contents

1. Sentential logic; 2. Quantificational logic; 3. Proofs; 4. Relations; 5. Functions; 6. Mathematical induction; 7. Infinite sets.

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How to Prove It: A Structured Approach 4.3 out of 5 based on 0 ratings. 3 reviews.
billlund on LibraryThing 3 days ago
This should be required reading for all math majors and those who want to learn how to write formal proofs. It is well written with lots of examples.
Anonymous More than 1 year ago
Anonymous More than 1 year ago