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Mathematics: Frontiers and Perspectives [Hardcover]

International Mathematical Union , V. I. Arnold , M. Atiyah , P. Lax , B. Mazur
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Table of Contents

A. Baker and G. Wüstholz: Number theory, transcendence and Diophantine geometry in the next millennium; J. Bourgain: Harmonic analysis and combinatorics: How much may they contribute to each other?; S.-S. Chern: Back to Riemann; A. Connes: Noncommutative geometry and the Riemann zeta function; S. K. Donaldson: Polynomials, vanishing cycles and Floer homology; W. T. Gowers: The two cultures of mathematics; V. F. R. Jones: Ten problems; D. Kazhdan: An algebraic integration; F. Kirwan:
Mathematics: The right choice?; P.-L. Lions: On some challenging problems in nonlinear partial differential equations; A. J. Majda: Real world turbulence and modern applied mathematics; Yu. I. Manin: Mathematics as profession and vocation; G. Margulis: Problems and conjectures in rigidity theory; D. McDuff: A glimpse into symplectic geometry; S. Mori: Rational curves on algebraic varieties; D. Mumford: The dawning of the age of stochasticity; R. Penrose: Mathematical physics of the 20th and 21s
centuries; K. F. Roth: Limitations to regularity a; D. Ruelle: Conversations on mathematics with a visitor from outer space; P. Sarnak: Some problems in number theory, analysis and mathematical physics; S. Smale: Mathematical problems for the next century; R. P. Stanley: Positivity problems and conjectures in algebraic combinatorics; C. Vafa: On the future of mathematics/physics interaction; A. Wiles: Twenty years of number theory; E. Witten: Magic, mystery, and matrix; S.-T. Yau: Review of
geometry and analysis; V. I. Arnold: Polymathematics: Is mathematics a single science or a set of arts?; P. D. Lax: Mathematics and computing; B. Mazur: The theme of p-adic variation

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