Mathematics : frontiers and perspectives /

Guardado en:
Autor Corporativo: International Mathematical Union.
Otros Autores: Arnol´d, V. I. 1937-
Formato: Libro
Idioma:English
Publicado: Providence, R.I. : American Mathematical Society, c2000.
Materias:
Acceso en línea:Preface (PDF)
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Tabla de Contenidos:
  • 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.