How to Prove It A Structured Approach

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  • Engels
  • Paperback
  • 9780521675994
  • 16 januari 2006
  • 398 pagina's
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Samenvatting

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text 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 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. 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.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
16 januari 2006
Aantal pagina's
398
Illustraties
Nee

Betrokkenen

Hoofdauteur
Daniel J. Velleman
Hoofdredacteur
Daniel J. Velleman
Hoofduitgeverij
Cambridge University Press

Vertaling

Originele titel
How to Prove It: A Structured Approach

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Editie
2
Extra groot lettertype
Nee
Product breedte
151 mm
Product hoogte
27 mm
Product lengte
228 mm
Studieboek
Ja
Verpakking breedte
152 mm
Verpakking hoogte
22 mm
Verpakking lengte
228 mm
Verpakkingsgewicht
530 g

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EAN
9780521675994
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