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Proof Patterns

Overview of attention for book
Cover of 'Proof Patterns'

Table of Contents

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    Book Overview
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    Chapter 1 Induction and Complete Induction
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    Chapter 2 Double Counting
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    Chapter 3 The Pigeonhole Principle
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    Chapter 4 Divisions
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    Chapter 5 Contrapositive and Contradiction
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    Chapter 6 Intersection-Enclosure and Generation
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    Chapter 7 Difference of Invariants
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    Chapter 8 Linear Dependence, Fields and Transcendence
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    Chapter 9 Formal Equivalence
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    Chapter 10 Equivalence Extension
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    Chapter 11 Proof by Classification
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    Chapter 12 Specific-generality
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    Chapter 13 Diagonal Tricks and Cardinality
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    Chapter 14 Connectedness and the Jordan Curve Theorem
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    Chapter 15 The Euler Characteristic and the Classification of Regular Polyhedra
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    Chapter 16 Discharging
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    Chapter 17 The Matching Problem
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    Chapter 18 Games
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    Chapter 19 Analytical Patterns
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    Chapter 20 Counterexamples
Attention for Chapter 13: Diagonal Tricks and Cardinality
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