Mathematics : frontiers and perspectives
V. Arnold ... [et al.], editors.
Providence, R.I. : American Mathematical Society, ©2000.
xi, 459 págs. : ilustraciones ; 26 cm.
ISBN: 0821820702 (alk. paper)
Cabecera de portada: IMU; International Mathematical Union.
"This volume, commissioned by the International Mathematical Union, is part of the activities celebrating 2000 as the Year of Mathematics. It is inspired by the famous list of problems that Hilbert proposed 100 years ago, but it has the more general purpose of describing the state of mathematics at the end of the 20th century."—Preface.
Incluye referencias bibliográficas.
Reseña: MathSciNet, 2000m:00017
Contenido
- A. Baker [Alan 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?
- Shiing-Shen Chern, Back to Riemann
- Alain 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
- David Kazhdan, An algebraic integration
- Frances Kirwan, Mathematics: the right choice?
- P.-L. Lions, On some challenging problems in nonlinear partial differential equations
- Andrew J. Majda, Real world turbulence and modern applied mathematics
- Yu. I. Manin, Mathematics as profession and vocation
- Gregory Margulis [Grigorii A. Margulis], Problems and conjectures in rigidity theory
- Dusa McDuff, A glimpse into symplectic geometry
- Shigefumi Mori, Rational curves on algebraic varieties
- David Mumford, The dawning of the age of stochasticity
- Roger Penrose, Mathematical physics of the 20th and 21st centuries
- K. F. Roth, Limitations to regularity
- David Ruelle, Conversations on mathematics with a visitor from outer space
- Peter Sarnak, Some problems in number theory, analysis and mathematical physics
- Steve Smale, Mathematical problems for the next century
- Richard P. Stanley, Positivity problems and conjectures in algebraic combinatorics
- Cumrun Vafa, On the future of mathematics/physics interaction
- Andrew Wiles, Twenty years of number theory
- Edward Witten, Magic, mystery, and matrix
- S.-T. Yau [Shing-Tung Yau], Review of geometry and analysis
- V. I. Arnold, Polymathematics: is mathematics a single science or a set of arts?
- Peter D. Lax, Mathematics and computing
- B. Mazur [Barry C. Mazur], The theme of $p$-adic variation.
