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How to Prove It: A Structured Approach

Velleman, Daniel J.

Editore: Cambridge University Press, 1994
ISBN 10: 0521441161 / ISBN 13: 9780521441162
Usato / Quantità: 1
Da Nearfine Books (Brooklyn, NY, U.S.A.)
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Titolo: How to Prove It: A Structured Approach

Casa editrice: Cambridge University Press

Data di pubblicazione: 1994

Condizione libro: very good


Gently used. Expect delivery in 20 days. Codice inventario libreria 9780521441162-3

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Riassunto: 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.

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Libreria AbeBooks dal: 13 giugno 2014
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Descrizione libreria: Nearfine Books is a bookseller specialised in hard-to-find and out-of-print titles. We are based in London and New York.