HOW TO PROVE IT by Velleman, Daniel J ISBN 0521446635
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[edit] HOW TO PROVE IT
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This textbook prepares students to make the transition from solving problems to proving theorems, by teaching them the techniques needed to read and write proofs.
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.
[edit] Book Details
[edit] Title
HOW TO PROVE IT
[edit] Author
Velleman, Daniel J
[edit] ISBN
0521446635
[edit] Published
25/11/1994
[edit] Publisher
Cambridge University Press
[edit] Binding
paperback
[edit] Retail Price
19.99 (GBP)
[edit] Typical Price Online
19.99 (GBP)
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