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Mathematics : frontiers and perspectives

Author: V I Arnolʹd; International Mathematical Union.
Publisher: Providence, R.I. : American Mathematical Society, ©2000.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Produced under the auspices of the International Mathematical Union (IMU), this volume was born as part of the activities observing the World Mathematical Year 2000. It consists of 30 articles that  Read more...

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Genre/Form: Aufsatzsammlung
Additional Physical Format: Online version:
Mathematics.
Providence, R.I. : American Mathematical Society, ©2000
(OCoLC)624511948
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V I Arnolʹd; International Mathematical Union.
ISBN: 0821820702 9780821820704 0821826972 9780821826973
OCLC Number: 42398016
Notes: At head of title: IMU; International Mathematical Union.
Description: xi, 459 pages : illustrations ; 26 cm
Contents: 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 / Shing-Shen Chern --
Noncommutative geometry and the Riemann zeta function / Alain Connes --
Polynomials, vanishing cycles and Floer homology / S.K. Donaldson --
The two cultures of mathematics / W.T. Gowers --
Ten problems / V.F.R. Jones --
An 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 --
A glimpse into symplectic geometry / Dusa McDuff --
Rational curves on algebraic varieties / Shigefumi Mori --
The dawning of the age of stochasticity / David Mumford --
Mathematical physics on the 20th and 21st 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 --
The theme of p-adic variation / Barry Mazur.
Responsibility: V. Arnold [and others], editors.

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