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How to Prove It A Structured Approach~tqw~ darksiderg
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How to Prove It: A Structured Approach
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Type.................: Ebook
Part Size............: 52,537,356 bytes
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Posted by............: ~tqw~
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Release Notes
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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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