Why Prove it Again?

Name: Why Prove it Again?
Brand: Birkhauser Verlag AG
SKU: 9783319173672
Price: 372.96 PLN
Availability: InStock

Alternative Proofs in Mathematical Practice

Autor: John W. Dawson

Język:

Oprawa: Twarda

Wydawca: Birkhauser Verlag AG

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-13 dni

372.96 zł

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

Informacje o książce

Autor

John W. Dawson

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2015

strony

204

EAN

9783319173672

ISBN

3319173677

Enbook ID

09225617

Wydawca

Birkhauser Verlag AG

Waga

4557

Wymiary

155 x 235 x 18

Pełny opis

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.§

Możesz być zainteresowany

Klienci, którzy kupili tę książkę, kupili również

Najczęściej wyszukiwane

Categories

Authors

Publishers

Produkty

Produkty

Najczęściej wyszukiwane

Categories

Authors

Publishers

Produkty

Produkty

Why Prove it Again?

Alternative Proofs in Mathematical Practice

Informacje o książce

Pełny opis

Możesz być zainteresowany

Klienci, którzy kupili tę książkę, kupili również