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Mathematics: frontiers and perspectives
Publisher
American Mathematical Society
Publication Date
c2000
Language
English
Description
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Table of Contents
From the Book
Preface / Michael Atiyah
Number theory, transcendence and Diophantine geometry in the next millennium / A. Baker and G. Wustholz
Harmonic analysis and combinatorics: How much may they contribute to each other? / J. Bourgain
Back to Riemann / Shiing-Shen Chern
Noncommutative geometry and the Riemann zeta function / Alain Connes
Polynomials, vanishing cycles and Floer homology / S. K. Donaldson
two cultures of mathematics / W. T. Gowers
Ten problems / V. F. R. Jones
algebraic integration / David Kazhdan
Mathematics: The right choice? / Frances Kirwan
On some challenging problems in nonlinear partial differential equations / P.-L. Lions
Real world turbulence and modern applied mathematics / Andrew J. Majda
Mathematics as profession and vocation / Yu. I. Manin
Problems and conjectures in rigidity theory / Gregory Margulis
glimpse into symplectic geometry / Dusa McDuff
Rational curves on algebraic varieties / Shigefumi Mori
dawning of the age of stochasticity / David Mumford
Mathematical physics on the 20[superscript th] and 21[superscript st] century / Roger Penrose
Limitations to regularity / K. F. Roth
Conversations on mathematics with a visitor from outer space / David Ruelle
Some problems in number theory, analysis and mathematical physics / Peter Sarnak
Mathematical problems for the next century / Steve Smale
Positivity problems and conjectures in algebraic combinatorics / Richard P. Stanley
On the future of mathematics/physics interaction / Cumrun Vafa
Twenty years of number theory / Andrew Wiles
Magic, mystery, and matrix / Edward Witten
Review of geometry and analysis / S.-T. Yau
Polymathematics: Is mathematics a single science or a set of arts? / V. I. Arnold
Mathematics and computing / Peter D. Lax
theme of p-adic variation / Barry Mazur.
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ISBN
9780821820704
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