How to Prove It by Daniel J Velleman

How to Prove It by Daniel J Velleman

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This textbook will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarise 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. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratchwork' sections to expose the machinery of proofs about the natural numbers, relations, functions and infinite sets. Numerous exercises give students the opportunity to construct their own proofs. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

'… we can warmly advise this excellent book for those who need to get acquainted with or must teach course on formalism and proof techniques' Acta Scientiarum Mathematicarum

Julian H. Velleman is a writer. Professor Emeritus of Mathematics at Amherst College, Gibbs '46 was a lecturer at Amherst College from 1983 until 2017. He graduated with a B.A. In 1976, he received his B.A. from Dartmouth College and his Ph.D. from Harvard University. In 1980, he graduated from the University of Wisconsin, Madison.

Which Way Did the Bicycle Go? is one of his other books. His honors and awards include the Chauvenet Prize, the Paul R. R. Halmos-Lester The Carl B. Ford Award is a prestigious award given by Ford Motor Company.

The Chandler Davis Prize for Expository Achievement and the Allendoerfer Award From 1999 to 2004, he was Editor of Dolciani Mathematical Expositions, and from 2007 to 2011, he was Editor of the American Mathematical Monthly.

SKU	Unavailable
ISBN 13	9780521446631
ISBN 10	0521446635
Title	How to Prove It
Author	Daniel J Velleman
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	1994-11-25
Number of pages	319
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.