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Proof and the Art of Mathematics by Joel David Hamkins
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Proof and the Art of Mathematics

Examples and Extensions

By Joel David Hamkins

By Joel David Hamkins

Best Seller

Category: Nonfiction

Paperback $32.00

Feb 23, 2021 | ISBN 9780262542203

All Formats
+
  • $32.00

    Feb 23, 2021 | ISBN 9780262542203

  • $35.00

    Sep 29, 2020 | ISBN 9780262539791

  • Feb 23, 2021 | ISBN 9780262362566

  • Sep 29, 2020 | ISBN 9780262360937

Proof and the Art of Mathematics by Joel David Hamkins
Paperback $32.00
Feb 23, 2021 | ISBN 9780262542203
See All Formats (3) +
  • $32.00

    Feb 23, 2021 | ISBN 9780262542203

  • $35.00

    Sep 29, 2020 | ISBN 9780262539791

  • Feb 23, 2021 | ISBN 9780262362566

  • Sep 29, 2020 | ISBN 9780262360937

Buy the Ebook:

About Proof and the Art of Mathematics

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.

Also by Joel David Hamkins

Lectures on the Philosophy of Mathematics
See all books by Joel David Hamkins

Product Details

Category: Nonfiction

Paperback | $32.00
Published by The MIT Press
Feb 23, 2021 | 132 Pages | 7 x 9 | ISBN 9780262542203

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Table Of Contents

1 A Classical Beginning
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 Lattice-Point 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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