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Nuts and Bolts of Proofs

ISBN-10: 0534103200

ISBN-13: 9780534103200

Edition: N/A

Authors: Antonella Cupillari

List price: $16.50
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Book details

List price: $16.50
Publisher: Brooks/Cole
Binding: Paperback
Pages: 131
Size: 5.50" wide x 8.50" long x 0.50" tall
Weight: 0.396
Language: English

List of Symbolsp. v
Prefacep. xi
Introduction and Basic Terminologyp. 1
General Suggestionsp. 5
Some Basic Techniques Used in Proving a Theorem of the Form "If A, then B"p. 9
Direct Proofp. 12
Related Statementsp. 19
Proof by Contrapositivep. 21
How to Construct the Negation of a Statementp. 25
Special Types of Theoremsp. 33
"If and only if" or Equivalence Theoremsp. 33
Use of Counterexamplesp. 43
Mathematical Inductionp. 46
Existence Theoremsp. 55
Uniqueness Theoremsp. 58
Equality of Setsp. 64
Equality of Numbersp. 73
Composite Statementsp. 76
Review Exercisesp. 85
Exercises Without Solutionsp. 89
Collection of "Proofs"p. 97
Solutions for the Exercises at the End of the Sections and the Review Exercisesp. 103
Solutions for the Exercises at the End of the Sectionsp. 104
Solutions for the Review Exercisesp. 127
Other Books on the Subject of Proofs and Mathematical Writingp. 147
Books on Mathematical Writingp. 148
Indexp. 149
Table of Contents provided by Syndetics. All Rights Reserved.