Turning Points in the History of Mathematics - Couverture souple

Grant, Hardy; Kleiner, Israel

Couverture souple

ISBN 10 : 1493932632 ISBN 13 : 9781493932634

Editeur : Birkhäuser, 2016

Synopsis

This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution.  Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation.

Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted.  Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided.

Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to

learn more about the important moments in its development.

A propos du livre

À propos de l'auteur

Hardy Grant was, before his retirement, Associate Professor in the Department of Mathematics and Statistics, York University, Toronto, Canada

Israel Kleiner is Professor Emeritus, the Department of Mathematics and Statistics, York University, Toronto, Canada

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2016
• Langue: anglais
• ISBN 10: 1493932632
• ISBN 13: 9781493932634
• Reliure: Broché
• Numéro d'édition: 1
• Nombre de pages: 120
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne