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This straightforward guide describes the main methods used to prove mathematical theorems. Shows how and when to use each technique such as the contrapositive, induction and proof by contradiction. Each method is illustrated by step-by-step examples. The Second Edition features new chapters on nested quantifiers and proof by cases, and the number of exercises has been doubled with answers to odd-numbered exercises provided. This text will be useful as a supplement in mathematics and logic courses. Prerequisite is high-school algebra.
1.The Truth of It All
2.The Forward-Backward Method
3.On Definitions and Mathematical Terminology
4.Quantifiers I:The Constructions Method
5.Quantifiers II:THE Choose Method
8.Quantifiers V:Nested Quantifiers
9.The Contradiction Method
10.The Contrapositive Method
11.Nots of Nots Lead to Knots
12.Special Proof Techniques
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