Proof and the Art of Mathematics: Examples and Extensions by Joel David Hamkins

Proof and the Art of Mathematics by Joel David Hamkins

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Description 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 Biography

Joel David Hamkins is Professor of Logic at Oxford University and Sir Peter Strawson Fellow in Philosophy at University College, Oxford. He has published widely in refereed research journals in mathematical logic and set theory and is the creator of the popular blog Mathematics and Philosophy of the Infinite. He is a prominent contributor to MathOverflow, where he has posted more than 1,000 mathematical arguments.

Details ISBN 026254220X ISBN-13 9780262542203 Title Proof and the Art of Mathematics Author Joel David Hamkins Format Paperback Year 2021 Pages 112 Publisher MIT Press Ltd GE_Item_ID:141686466; About Us

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