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Why Prove It Again? : Alternative Proofs in Mathematical Practice by John W. Dawson, Jr. (auth.) is a nonfiction available to read on EtoBox.

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This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result are different. While a number of books have examined alternative proofs of individual theorems, this is the first that presents comparative case studies of other methods for a variety of different theorems. The author begins by laying out the criteria for distinguishing among proofs and enumerates reasons why new proofs have, for so long, played a prominent role in mathematical practice. He then outlines various purposes that alternative proofs may serve. Each chapter that follows provides a detailed case study of alternative proofs for particular theorems, including the Pythagorean Theorem, the Fundamental Theorem of Arithmetic, Desargues’ Theorem, the Prime Number Theorem, and the proof of the irreducibility of cyclotomic polynomials. __Why Prove It Again?__ will appeal to a broad range of readers, including historians and philosophers of ma

Who reads Why Prove It Again? : Alternative Proofs in Mathematical Practice?

Author

John W. Dawson, Jr. (auth.)

Publisher

Birkhäuser Basel

Published

2015

Language

EN

ISBN

9783319173689

Category

nonfiction

Subjects

Mathematics, Philosophy, Science