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Fields Medallists' Lectures: World Scientific Series in 20th Century Mathematics (Paperback), cartea 05

Editat de Michael Francis Atiyah, Daniel Iagolnitzer, Michael Atiyah
en Limba Engleză Paperback – 30 sep 1997
The Fields Medal is restricted to one field - that of mathematics - with a generally accepted age limit of 40. This volume presents contributions from 22 Fields medallists, highlighting areas in mathematics in which the greatest progress has been made.
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Cuprins

Zur theorie de uberlagerungsflachen, L.V. Alfors; the index of elliptic operators, M. Atiyah; effective methods in the theory of numbers, effective methods in diophantine problems 1 & 2, effective methods in the theory of numbers/diophantine problems (comments), A. Baker; Hamiltonian methods in nonlinear evolution equations, J. Bourgain; brisure de symetrie spontanee et geometrie du point de vue spectral, A. Connes; remarks on gauge theory, complex geometry and 4-manifold topology, S.K. Donaldson; index for subfactors, a polynomial invariant of knots via non Neumann algebras, V. Jones; on some recent methods for nonlinear partial differential equations, P.L. Lions; birational classification of algebraic threefolds, S. Mori; rational approximations to algebraic numbers, K.F. Roth; geometry and quantum field theory, E. Witten; recent developments in dynamics, J.C. Yoccoz; on the restricted burnside problem, E. Zelmanov. (Part contents).