LEADER 03136nam 2200589 450 001 996466590703316 005 20220818123558.0 010 $a3-540-47341-6 024 7 $a10.1007/BFb0089200 035 $a(CKB)1000000000437125 035 $a(SSID)ssj0000324693 035 $a(PQKBManifestationID)12072494 035 $a(PQKBTitleCode)TC0000324693 035 $a(PQKBWorkID)10313191 035 $a(PQKB)11442562 035 $a(DE-He213)978-3-540-47341-1 035 $a(MiAaPQ)EBC5578262 035 $a(Au-PeEL)EBL5578262 035 $a(OCoLC)1066198211 035 $a(MiAaPQ)EBC6812140 035 $a(Au-PeEL)EBL6812140 035 $a(PPN)15521991X 035 $a(EXLCZ)991000000000437125 100 $a20220818d1992 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aMathematical research today and tomorrow $eviewpoints of seven Fields medalists : lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991 /$feditors C. Casacuberta, M. Castellet 205 $a1st ed. 1992. 210 1$aBerlin :$cSpringer-Verlag,$d[1992] 210 4$d©1992 215 $a1 online resource (X, 122 p.) 225 1 $aLecture notes in mathematics (Springer-Verlag) ;$v1525 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-56011-4 327 $aLeaving 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. 330 $aThe Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on the development of their respective research fields. The contents of all lectures were collected in the volume, together witha transcription of a round table discussion held during the Symposium. All papers are expository. Some parts include precise technical statements of recent results, but the greater part consists of narrative text addressed to a very broad mathematical public. CONTENTS: R. Thom: Leaving Mathematics for Philosophy.- S. Novikov: Role of Integrable Models in the Development of Mathematics.- S.-T. Yau: The Current State and Prospects of Geometry and Nonlinear Differential Equations.- A. Connes: Noncommutative Geometry.- S. Smale: Theory of Computation.- V. Jones: Knots in Mathematics and Physics.- G. Faltings: Recent Progress in Diophantine Geometry. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1525. 606 $aMathematics$xResearch 615 0$aMathematics$xResearch. 676 $a510 702 $aCasacuberta$b Carles$f1961- 702 $aCastellet$b Manuel 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466590703316 996 $aMathematical research today and tomorrow$9262332 997 $aUNISA