Overview

Taking seminal mathematical concepts and theories as their starting point, the contributors to this volume define myriad forms of interaction between mathematical research and historiographical problems. In the process, they pose such important questions as ""Can an independent historian of mathematics make fruitful contributions to the development of mathematics?"" and ""Where did twentieth-century mathematics go wrong?"" This collection of papers evolved from a History of Mathematics Symposium organized in Tokyo in conjuctions with the International Conaress of Mathematics held in Kyoto, Japan. The venue gave excellent cause to develop yet a further line of study rarely given its due in such anthologies: the mathematical traditions in the East. On this subject, papers discuss how to intermingling of cultures contributed to the introduction of Indian mathematics to the Islamic world, and Western mathematics to Japan.

Full Product Details

Author:   Chikara Sasaki ,  Mitsuo Sugiura ,  Joseph Warren Dauben
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Volume:   v. 15
Weight:   0.608kg
ISBN:  

9783764350291

ISBN 10:   3764350296
Pages:   262
Publication Date:   25 April 1994
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock  

Table of Contents

Mathematics: An Historian's Perspective.- Une Methode de Restitution - quelques examples dans le cas de Pascal.- The Birth of Maxwell's Electro-Magnetic Field Equations.- Complex Curves - Origins and Intrinsic Geometry.- From Gauss to Weierstrass: Determinant Theory and Its Historical Evaluation.- The Reciprocity Law from Euler to Eisenstein.- Three Aspects of the Theory of Complex Multiplication.- The Establishment of the Takagi-Artin Class Field Theory.- Where Did Twentieth-Century Mathematics Go Wrong?.- Indian Mathematics in Arabic.- The Tetsujutsu Sankei (1722), an 18th Century Treatise on the Methods of Investigation in Mathematics.- The Adoption of Western Mathematics in Meiji Japan, 1853-1903.- The Philosophical Views of Klein and Hilbert.- Hermann Weyl's Contribution to Geometry in the Years 1918 to 1923.- The Origins of Infinite Dimensional Unitary Representations of Lie Groups.- Dispelling a Myth: Questions and Answers about Bourbaki's Early Works, 1934-1944.- Questions in the Historiography of Modern Mathematics: Documentation and the Use of Primary Sources [Abstract].- List of Invited Speakers at the Tokyo History of Mathematics Symposium 1990.- List of Speakers and Titles of Their Lectures at Session B (Short Communications).

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions