How to Prove It: A Structured Approach

Velleman, Daniel J.

Published by Cambridge University Press, 1994
ISBN 10: 0521441161 / ISBN 13: 9780521441162
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Synopsis: Many mathematics students have trouble the first time they take a course, such as linear algebra, abstract algebra, introductory analysis, or discrete mathematics, in which they are asked to prove various theorems. 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 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. 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.

Review: '... 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

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Title: How to Prove It: A Structured Approach
Publisher: Cambridge University Press
Publication Date: 1994
Binding: Hardcover
Book Condition: Used: Good

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Velleman, Daniel J.
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Book Description Cambridge University Press, 1994. Paperback. Book Condition: Acceptable. Item is intact, but may show shelf wear. Pages may include notes and highlighting. May or may not include supplemental or companion material. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Bookseller Inventory # mon0000954697

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Book Description Cambridge University Press. PAPERBACK. Book Condition: Fine. 0521446635 Cambridge University Press; Cambridge, 1998. Trade paperback. Reprint Edition. A Near Fine, tight binding, interior and extremities tidy, minimal handling wear, a nice, clean and unmarked copy in wraps. 8vo[octavo or approx. 6 x 9], 309pp., indexed. We pack securely and ship daily w/delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire. Bookseller Inventory # SKU1019707

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