Proof and the Art of Mathematics : Examples and Extensions

Joel David Hamkins

ISBN 10: 026254220X / ISBN 13: 9780262542203

Editore: MIT Press Ltd Feb 2021, 2021

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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.

Codice articolo 9780262542203

Dati bibliografici

• Titolo: Proof and the Art of Mathematics : Examples and Extensions
• Editore: MIT Press Ltd Feb 2021
• Data di pubblicazione: 2021
• Lingua: Inglese
• ISBN 10: 026254220X
• ISBN 13: 9780262542203
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 228 L x 179 A x 10 P (millimetri) 228 millimetri di larghezza per 179 millimetri di altezza per 10 millimetri di profondità
• Peso: 220 grammi

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.