Proof and the Art of Mathematics : Examples and Extensions

Joel David Hamkins

ISBN 10: 026254220X / ISBN 13: 9780262542203

Published by MIT Press Ltd Feb 2021, 2021

About this Item

Neuware - 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.

Seller Inventory # 9780262542203

Bibliographic Details

• Title: Proof and the Art of Mathematics : Examples and Extensions
• Publisher: MIT Press Ltd Feb 2021
• Publication Date: 2021
• Language: English
• ISBN 10: 026254220X
• ISBN 13: 9780262542203
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 228W x 179H x 10D millimeters 228 millimeters width by 179 millimeters height by 10 millimeters depth
• Weight: 220 grams

About this title

Synopsis

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 the Author

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.