Fields Medallists' Lectures (Third Edition): (1 World Scientific Series in 21st Century Mathematics)

Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field — that of mathematics. The medal is awarded to the best mathematicians who are 40 or younger, every four years.A list of Fields Medallists and their contributions provides a bird's-eye view of the major developments in mathematics over the past 80 years. It highlights the areas in which, at various times, the greatest progress has been made.The third edition of Fields Medallists' Lectures features additional contributions from: John W Milnor (1962), Enrico Bombieri (1974), Gerd Faltings (1986), Andrei Okounkov (2006), Terence Tao (2006), Cédric Villani (2010), Elon Lindenstrauss (2010), Ngô Bao Châu (2010), Stanislav Smirnov (2010).

Table of Contents:
1936 L V Ahlfors: Quasiconformal Mappings, Teichmuller Spaces, and Kleinian Groups; 1950 L Schwartz: The Work of L Schwartz by H Bohr; Calcul Infinitesimal Stochastique; 1954 K Kodaira: Obituary: Kunihiko Kodaira; On Kahler Varieties of Rrestricted Type; 1958 K F Roth: The Work of K F Roth by H Davenport; Rational Approximations to Algebraic Numbers; R Thom: The Work of R Thom by H Hopf; 1962 L Hormanjder: Hormanjder's Work on Linear Differential Operators by L Garding; Looking Forward from ICM 1962; J W Milnor: The Work of John W Milnor by Hassler Whitney; Topological Manifolds and Smooth Manifolds; 1966 M F Atiyah: L'oeuvre de Michael F Atiyah by H Cartan; The Index of Elliptic Operators; S Smale: Sur Les Travaux de Stephen Smale by R Thom; A Survey of Some Recent Developments in Differential Topology; 1970 A Baker: The Work of Alan Baker by P Turan; Effective Methods in the Theory of Numbers; Effective Methods in Diophantine Problems; Effective Methods in the Theory of Numbers/Diophantine Problems; S Novikov: The Work of Serge Novikov by M F Atiyah; Role of Integrable Models in the Development of Mathematics; 1974 E Bombieri: The Work of Enrico Bombieri by K Chandrasekharan; Variational Problems and Elliptic Equations; D Mumford: The Work of David Mumford by J Tate; Pattern Theory: A Unifying Perspective; 1978 G A Margulis: The Work of Gregory Aleksandrovitch Margulis by J Tits; Oppenheim Conjecture; 1982 A Connes: The Work of Alain Connes by H Araki; Brisure de Symetrie Spontanee et Geometrie du Point de vue Spectral; W P Thurston: The Work of W Thurston by C T C Wall; 1986 S K Donaldson: The Work of Simon Donaldson by M F Atiyah; Remarks on Gauge Theory, Complex Geometry and 4-Manifold Topology; G Faltings: The Work of Gerd Faltings by B Mazur; Neuere Entwicklungen in der arithmetischen algebraischen Geometrie; M H Freedman: The Work of M H Freedman by J Milnor; Betti Number Estimates for Nilpotent Groups; 1990 V F R Jones: The Work of Vaughan F R Jones by J S Birman; A Polynomial Invariant for Knots via von Neumann Algebras; S Mori: The Work of Shigefumi Mori by H Hironaka; Birational Classification of Algebraic Threefolds; E Witten: The Work of E Witten by L D Faddeev; The Work of Edward Witten by M F Atiyah; Geometry and Quantum Field Theory; 1994 J Bourgain: The Work of Jean Bourgain by L Caffarelli; Hamiltonian Methods in Nonlinear Evolution Equations; P L Lions:: The Work of Pierre-Louis Lions by S R S Varadhan; On Some Recent Methods for Nonlinear Partial Differential Equations; J C Yoccoz: Presentation de Jean-Christophe Yoccoz by A Douady; Recent Developments in Dynamics; E I Zelmanov: The Work of Efim Zelmanov by W Feit; On the Restricted Burnside Problem; 1998 R E Borcherds: The Work of Richard Ewen Borcherds by P Goddard; What is Moonshine?; W T Gowers: The Work of William Timothy Gowers by B Bollobas; A New Proof of Szemeredi's Theorem for Arithmetic Progressions of Length Four; M Kontsevich: The Work of Maxim Kontsevich by C H Taubes; Formal (Non)-Commutative Symplectic Geometry; Comments on "Formal (Non)-Commutative Symplectic Geometry"; C T McMullen: The Work of Curtis T McMullen by J Milnor; Rigidity and Inflexibility in Conformal Dynamics; 2002 L Lafforgue: The Work of Laurent Lafforgue by G Laumon; V Voevodsky: The Work of Vladimir Voevodsky by C Soule Open Problems in the Motive Style Homotopy Theory, I; 2006 A Okounkov: The Work of Andrei Okounkov by Giovanni Felder; Terence Tao: The Work of Terence Tao by Charles Fefferman; The Dichotomy between Structure and Randomness, Arithmetic Progressions, and the Primes; 2010 N B Chau: The Work of Ngo Bao Chau by James Arthur; Endoscopy Theory of Automorphic Forms; E Lindenstrauss: The Work of Elon Lindenstrauss by Harry Furstenberg; Equidistribution in Homogeneous Spaces and Number Theory; S Smirnov: The Work of Stanislav Smirnov by Harry Kesten; Discrete Complex Analysis and Probability; C Villani: The Work of Cedric Villani by Horng-Tzer Yau, Landau Damping;