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9783034604246

Visions in Mathematics

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  • ISBN13:

    9783034604246

  • ISBN10:

    3034604246

  • Edition: 1st
  • Format: Paperback
  • Copyright: 2010-03-15
  • Publisher: Birkhauser

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Summary

"Visions in Mathematics - Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas.The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathematics of current interest.This is the second part of a two-volume set that will serve any research mathematician or advanced student as an overview and guideline through the multifaceted body of mathematical research in the present and near future.

Table of Contents

Foreword
Algebraic and probabilistic methods in discrete mathematicsp. 455
Challenges in analysisp. 471
Noncommutative geometry - Year 2000p. 481
Introduction to symplectic field theoryp. 560
Holomorphic curves and real three-dimensional dynamicsp. 674
Perspectives on the analytic theory of L-functionsp. 705
Combinatorics with a geometric flavorp. 742
Topics in asymptotic geometric analysisp. 792
Quantum information theory: results and open problemsp. 816
Universality, phase transitions and statistical mechanicsp. 839
How classical physics helps mathematicsp. 859
Addendum: Discussions at the Dead Sea
Introductionp. 881
Discussion on Mathematical Physicsp. 883
Discussion on Geometryp. 895
Discussion on Mathematics in the Real Worldp. 915
Discussion on Computer Science and Discrete Mathematicsp. 950
Reflections on the development of mathematics in the 20th centuryp. 978
Table of Contents provided by Ingram. All Rights Reserved.

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