03136nam 2200589 450 99646659070331620220818123558.03-540-47341-610.1007/BFb0089200(CKB)1000000000437125(SSID)ssj0000324693(PQKBManifestationID)12072494(PQKBTitleCode)TC0000324693(PQKBWorkID)10313191(PQKB)11442562(DE-He213)978-3-540-47341-1(MiAaPQ)EBC5578262(Au-PeEL)EBL5578262(OCoLC)1066198211(MiAaPQ)EBC6812140(Au-PeEL)EBL6812140(PPN)15521991X(EXLCZ)99100000000043712520220818d1992 uy 0engurnn|008mamaatxtccrMathematical research today and tomorrow viewpoints of seven Fields medalists : lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991 /editors C. Casacuberta, M. Castellet1st ed. 1992.Berlin :Springer-Verlag,[1992]©19921 online resource (X, 122 p.) Lecture notes in mathematics (Springer-Verlag) ;1525Bibliographic Level Mode of Issuance: Monograph3-540-56011-4 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.Lecture notes in mathematics (Springer-Verlag) ;1525.MathematicsResearchMathematicsResearch.510Casacuberta Carles1961-Castellet ManuelMiAaPQMiAaPQMiAaPQBOOK996466590703316Mathematical research today and tomorrow262332UNISA