Why Prove it Again?

Alternative Proofs in Mathematical Practice

Szerző: Jr. John W. Dawson

Nyelv:

Kötés: Puha kötésű

Kiadó: Birkhauser Verlag AG

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

24 655 Ft

This monograph considers several well-known mathematical theorems and asks the question, "Why prove...

Információk a könyvről

Szerző

Jr. John W. Dawson

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2016

oldal

204

EAN

9783319349671

ISBN

9783319349671

Enbook ID

15368761

Kiadó

Birkhauser Verlag AG

Súly

336

Méretek

234 x 157 x 15

Teljes leírás

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 mathematics, students, and practicing mathematicians. Additionally, teachers will find it to be a useful source of alternative methods of presenting material to their students.

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Why Prove it Again?

Alternative Proofs in Mathematical Practice

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták