Proof and the Art of Mathematics: Examples and Extensions  PDF & ePUB Download
ePUB
 eBook:Proof and the Art of Mathematics: Examples and Extensions
 Author:Joel David Hamkins
 Edition:
 Categories:
 Data:February 23, 2021
 ISBN:026254220X
 ISBN13:9780262542203
 Language:English
 Pages:132 pages
 Format:ePUB
Description of Proof and the Art of Mathematics: Examples and Extensions ebook
This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully workedout solutions to all of the oddnumbered exercises as well as a few of the evennumbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, "Once you have solved a problem, why not push the ideas harder to see what further you can prove with them?" These solutions offer readers examples of how to write a mathematical proofs.
The mathematical development of this text follows the main book, with the same chapter topics in the same order, and all theorem and exercise numbers in this text refer to the corresponding statements of the main text.

Content
2.?Multiple Proofs
3.?Number Theory
4.?Mathematical Induction
5.?Discrete Mathematics
6.?Proofs without Words
7.?Theory of Games
8.?Pick’s Theorem
9.?LatticePoint Polygons
10.?Polygonal Dissection Congruence Theorem
11.?Functions and Relations
12.?Graph Theory
13.?Infinity
14.?Order Theory
15.?Real Analysis
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