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9780521441162: How to Prove It: A Structured Approach

Synopsis

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.

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Présentation de l'éditeur

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.

Revue de presse

'... 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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Acheter D'occasion

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9780521446631: How to Prove It: A Structured Approach

Edition présentée

ISBN 10 :  0521446635 ISBN 13 :  9780521446631
Editeur : Cambridge University Press, 1994
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Velleman, Daniel J.
Edité par Cambridge University Press, 1994
ISBN 10 : 0521441161 ISBN 13 : 9780521441162
Ancien ou d'occasion Couverture rigide

Vendeur : Anybook.com, Lincoln, Royaume-Uni

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Etat : Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9780521441162. N° de réf. du vendeur 5560463

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Image d'archives

Velleman, Daniel J.
Edité par Cambridge University Press, 1994
ISBN 10 : 0521441161 ISBN 13 : 9780521441162
Ancien ou d'occasion Couverture rigide

Vendeur : dsmbooks, Liverpool, Royaume-Uni

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hardcover. Etat : Very Good. Very Good. book. N° de réf. du vendeur D8S0-3-M-0521441161-2

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