Mathematical Research Today and Tomorrow
Viewpoints of Seven Fields Medalists. Lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991
Editors: Casacuberta, Carles, Castellet, Manuel (Eds.)
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- About this book
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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.
- Table of contents (8 chapters)
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Leaving mathematics for philosophy
Pages 1-12
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Rôle of integrable models in the development of mathematics
Pages 13-28
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The current state and prospects of geometry and nonlinear differential equations
Pages 29-39
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Noncommutative geometry
Pages 40-58
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Theory of computation
Pages 59-69
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Table of contents (8 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Mathematical Research Today and Tomorrow
- Book Subtitle
- Viewpoints of Seven Fields Medalists. Lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991
- Editors
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- Carles Casacuberta
- Manuel Castellet
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 1525
- Copyright
- 1992
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-47341-1
- DOI
- 10.1007/BFb0089200
- Softcover ISBN
- 978-3-540-56011-1
- Series ISSN
- 0075-8434
- Edition Number
- 1
- Number of Pages
- X, 122
- Topics
