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                    How to Prove It: A Structured Approach
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Posted by............: hentaiw

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Many students have trouble the first time they take a mathematics course in 
which proofs play a sigficant role. This book will prepare students for such 
courses by teaching them techniques for writing and reading proofs. No 
background beyond high school mathematics is assumed. The book begins with logic 
and set theory, to familiarize students with the language of mathematics and how 
it is interpreted. This understanding of the language of mathematics serves as 
the basis for a detailed discussion of the most important techniques used in 
proofs, when and how to use them, and how they are combined to produce comples 
proofs. Material on the natural numbers, relations, functions, and infinite sets 
provides practice in writing and reading proofs, as well as supplying background 
that will be valuable in most theoretical mathematics courses.

Table Of Contents

Preface
Jill rot/lie lion
1 Sentential Logic
2 Qlllmtiliclltional Logic
3 Proofs
4 Relations
5 Fucntions
6 Mathematical Induction
7 Infintie Sets
Appendix J: Solulions 10 Selected Exercises 
Appendix 2: Proof Designer 
Suggeslions for FUr/her Reading 
Summary of ProofTedmitJues 
Index

Product Details

    * ISBN: 0521675995
    * ISBN-13: 9780521675994
    * Format: Paperback, 336pp
    * Publisher: Cambridge University Press
    * Pub. Date: March 2006
    * Edition Description: REV
    * Edition Number: 2

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