Proof and the Art of Mathematics
Examples and Extensions
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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