Proof and the Art of Mathematics

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ISBN: 9780262362993 | Copyright 2020

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Title Page (pg. i)
Title (pg. iii)
Contents (pg. v)
Preface (pg. vii)
About the Author (pg. viii)
I A Classical Beginning (pg. 1)
2 Multiple Proofs (pg. 9)
3 Number Theory (pg. 15)
4 Mathematical Induction (pg. 21)
5 Discrete Mathematics (pg. 31)
6 Proofs without Words (pg. 41)
7 Theory of Games (pg. 49)
8 Pick's Theorem (pg. 57)
9 Lattice-Point Polygons (pg. 63)
10 Polygonal Dissection Congruence Theorem (pg. 75)
11 Functions and Relations (pg. 83)
12 Graph Theory (pg. 93)
13 Infinity (pg. 103)
14 Order Theory (pg. 111)
15 Real Analysis (pg. 117)
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