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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

Examples and Extensions

By Joel David Hamkins

By Joel David Hamkins

By Joel David Hamkins

By Joel David Hamkins

By Joel David Hamkins

By Joel David Hamkins

By Joel David Hamkins

By Joel David Hamkins

Best Seller

Category: Nonfiction

Category: Nonfiction

Category: Nonfiction

Category: Nonfiction

Paperback $30.00

Feb 23, 2021 | ISBN 9780262542203

Paperback $35.00

Sep 29, 2020 | ISBN 9780262539791

Ebook $21.99

Feb 23, 2021 | ISBN 9780262362566

Ebook $21.99

Sep 29, 2020 | ISBN 9780262360937

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    Proof and the Art of Mathematics by Joel David Hamkins
    Paperback $35.00
    Sep 29, 2020 | ISBN 9780262539791

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    • $30.00

      Feb 23, 2021 | ISBN 9780262542203

      Buy from Other Retailers:

    • $35.00

      Sep 29, 2020 | ISBN 9780262539791

      Buy from Other Retailers:

    • Feb 23, 2021 | ISBN 9780262362566

      Buy from Other Retailers:

    • Sep 29, 2020 | ISBN 9780262360937

      Buy from Other Retailers:

    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.

    About Proof and the Art of Mathematics

    An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs.

    This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range of topics, including number theory, combinatorics, graph theory, the theory of games, geometry, infinity, order theory, and real analysis. The goal is to show students and aspiring mathematicians how to write proofs with elegance and precision.

    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.

    About Proof and the Art of Mathematics

    An introduction to writing proofs, presented through compelling mathematical statements with interesting elementary proofs.

    This book offers an introduction to the art and craft of proof-writing. The author, a leading research mathematician, presents a series of engaging and compelling mathematical statements with interesting elementary proofs. These proofs capture a wide range of topics, including number theory, combinatorics, graph theory, the theory of games, geometry, infinity, order theory, and real analysis. The goal is to show students and aspiring mathematicians how to write proofs with elegance and precision.

    Also by Joel David Hamkins

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

    Also by Joel David Hamkins

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

    Also by Joel David Hamkins

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

    Also by Joel David Hamkins

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

    Product Details

    Category: Nonfiction

    Paperback | $30.00
    Published by The MIT Press
    Feb 23, 2021 | 132 Pages | 7 x 9 | ISBN 9780262542203

    Category: Nonfiction

    Paperback | $35.00
    Published by The MIT Press
    Sep 29, 2020 | 240 Pages | 7 x 9 | ISBN 9780262539791

    Category: Nonfiction

    Ebook | $21.99
    Published by The MIT Press
    Feb 23, 2021 | 132 Pages | 7 x 9 | ISBN 9780262362566

    Category: Nonfiction

    Ebook | $21.99
    Published by The MIT Press
    Sep 29, 2020 | 240 Pages | 7 x 9 | ISBN 9780262360937

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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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