Proof and the Art of Mathematics: Examples and Extensions (Paperback) (ISBN-13: 9780262542203)

How to write mathematical proofs, shown in fully-worked out examples.

This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered 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.

Author: Joel David Hamkins
ISBN-10: 026254220X
ISBN-13: 9780262542203
Publisher: MIT Press
Language: English
Published: 02/23/2021
Pages: 132
Format: Paperback
Weight: 0.50lbs
Size: 8.90h x 7.00w x 0.40d