Mathematical Research Today and Tomorrow

Viewpoints of Seven Fields Medalists. Lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991

Carles Casacuberta, Manuel Castellet (Herausgeber)

Buch | Softcover

X, 122 Seiten

1992 | 1992
Springer Berlin (Verlag)
978-3-540-56011-1 (ISBN)

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The Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18,1991. Seven invited Fields medalists gavetalks on thedevelopment of their respective research fields. Thecontents of all lectures were collected in the volume,together witha transcription of a round table discussionheld during the Symposium. All papers are expository. Someparts include precise technical statements of recentresults, but the greater part consists of narrative textaddressed to a very broad mathematical public.CONTENTS: R. Thom: Leaving Mathematics for Philosophy.- S.Novikov: Role of Integrable Models in the Development ofMathematics.- S.-T. Yau: The Current State and Prospects ofGeometry 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.

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.

Erscheint lt. Verlag	14.12.1992
Reihe/Serie	Lecture Notes in Mathematics
Co-Autor	A. Connes, G. Faltings, V. Jones, S. Novikov, S. Smale, R. Thom, S.-T. Yau
Zusatzinfo	X, 122 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	241 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	commutative property • Development • differential equation • Equation • fields medal • Geometry • linear differential equation • Mathematica • Mathematics • mathematics today • Mathematik • Nonlinear differential equation • Online • Philosophy • research prospects • Theory of Computation
ISBN-10	3-540-56011-4 / 3540560114
ISBN-13	978-3-540-56011-1 / 9783540560111
Zustand	Neuware