Mathematical Research Today and Tomorrow [electronic resource] : Viewpoints of Seven Fields Medalists Lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991 / edited by Carles Casacuberta, Manuel Castellet.

Contributor(s): Casacuberta, Carles [editor.] | Castellet, Manuel [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1525Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1992Description: X, 122 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540473411Subject(s): Mathematics | Geometry, algebraic | Global differential geometry | Number theory | Algebraic topology | Mathematical physics | Mathematics | Number Theory | Algebraic Geometry | Differential Geometry | Algebraic Topology | Mathematical and Computational PhysicsAdditional physical formats: Printed edition:: No titleDDC classification: 512.7 LOC classification: QA241-247.5Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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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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