Mathematical Research Today and Tomorrow : Viewpoints of Seven Fields Medalists. Lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991. 1st ed. 1992

種類:

電子ブック

責任表示:

edited by Carles Casacuberta, Manuel Castellet

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1992

著者名:

• Casacuberta, Carles.
• Castellet, Manuel.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1525

ISBN:

9783540473411 [3540473416]    

注記:

Leaving mathematics for philosophy -- Rôle of integrable models in the development of mathematics -- The current state and prospects of geometry and nonlinear differential equations -- Noncommutative geometry -- Theory of computation -- Knots in mathematics and physics -- Recent progress in diophantine geometry -- Round-table discussion.
The Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on the development of their respective research fields. The contents of all lectures were collected in the volume, together witha transcription of a round table discussion held during the Symposium. All papers are expository. Some parts include precise technical statements of recent results, but the greater part consists of narrative text addressed to a very broad mathematical public. CONTENTS: R. Thom: Leaving Mathematics for Philosophy.- S. Novikov: Role of Integrable Models in the Development of Mathematics.- S.-T. Yau: The Current State and Prospects of Geometry and Nonlinear Differential Equations.- A. Connes: Noncommutative Geometry.- S. Smale: Theory of Computation.- V. Jones: Knots in Mathematics and Physics.- G. Faltings: Recent Progress in Diophantine Geometry.

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