The Cult of Pythagoras: Math and Myths - Couverture rigide

Martinez, Alberto

Couverture rigide

ISBN 10 : 0822944189 ISBN 13 : 9780822944188

Editeur : University of Pittsburgh Press, 2012

Synopsis

In this follow-up to his popular Science Secrets, Alberto A. Mart\u00ednez discusses various popular myths from the history of mathematics: that Pythagoras proved the hypotenuse theorem, that Archimedes figured out how to test the purity of a gold crown while he was in a bathtub, that the Golden Ratio is in nature and ancient architecture, that the young Galois created group theory the night before the pistol duel that killed him, and more. Some stories are partly true, others are entirely false, but all show the power of invention in history. Pythagoras emerges as a symbol of the urge to conjecture and \u201cfill in the gaps\u201d of history. He has been credited with fundamental discoveries in mathematics and the sciences, yet there is nearly no evidence that he really contributed anything to such fields at all. This book asks: how does history change when we subtract the many small exaggerations and interpolations that writers have added for over two thousand years?

The Cult of Pythagoras is also about invention in a positive sense. Most people view mathematical breakthroughs as \u201cdiscoveries\u201d rather than invention or creativity, believing that mathematics describes a realm of eternal ideas. But mathematicians have disagreed about what is possible and impossible, about what counts as a proof, and even about the results of certain operations. Was there ever invention in the history of concepts such as zero, negative numbers, imaginary numbers, quaternions, infinity, and infinitesimals?

Mart\u00ednez inspects a wealth of primary sources, in several languages, over a span of many centuries. By exploring disagreements and ambiguities in the history of the elements of mathematics, The Cult of Pythagoras dispels myths that obscure the actual origins of mathematical concepts. Mart\u00ednez argues that an accurate history that analyzes myths reveals neglected aspects of mathematics that can encourage creativity in students and mathematicians.

A propos du livre

À propos de l?auteur

Alberto A. Martinez is associate professor of history at the University of Texas at Austin. He is the author of Science Secrets: The Truth about Darwin's Finches, Einstein's Wife, and Other Myths; Kinematics: The Lost Origins of Einstein's Relativity; and

Détails de l'édition

• Éditeur: University of Pittsburgh Press
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 0822944189
• ISBN 13: 9780822944188
• Reliure: Relié
• Nombre de pages: 288
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible