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Surveys in Modern Mathematics

$129.00 (P)

Part of London Mathematical Society Lecture Note Series

V. I. Arnold, Yu. I. Manin, A. A. Kirillov, D. V. Anosov, A. A. Razborov, S. P. Novikov, Miles Reid, A. B. Katok, A. N. Rudakov, Stephen Smale, Pierre Cartier, A. A. Kirillov, I. M. Krichever, V. Yu. Ovsienko, S. V. Matveev
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  • Date Published: April 2005
  • availability: In stock
  • format: Paperback
  • isbn: 9780521547932

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About the Authors
  • This collection of articles from the Independent University of Moscow is derived from the Globus seminars held there. They are given by world authorities, from Russia and elsewhere, in various areas of mathematics and are designed to introduce graduate students to some of the most dynamic areas of mathematical research. The seminars aim to be informal, wide-ranging and forward-looking, getting across the ideas and concepts rather than formal proofs, and this carries over to the articles here. Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups. The volume as a whole is a fascinating and exciting overview of contemporary mathematics.

    • World famous contributors
    • All of contemporary mathematics is surveyed
    • Ideal for graduate students
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    Reviews & endorsements

    "The editors have done a heroic job of preserving the 'feel' of the lecture hall, and the authors have useful insights to share. This one is very much worth a look." MAA Reviews, Fernando Q. Gouvea, Colby College

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    Product details

    • Date Published: April 2005
    • format: Paperback
    • isbn: 9780521547932
    • length: 360 pages
    • dimensions: 228 x 152 x 19 mm
    • weight: 0.502kg
    • contains: 40 b/w illus. 1 table 25 exercises
    • availability: In stock
  • Table of Contents

    1. The Independent University of Moscow and student sessions at the IUM
    2. Mysterious mathematical trinities V. I. Arnold
    3. The principle of topological economy in algebraic geometry V. I. Arnold
    4. Rational curves, elliptic curves, and the Painléve equation Yu. I. Manin
    5. The orbit method and finite groups A. A. Kirillov
    6. On the development of the theory of dynamical systems during the past quarter century D. V. Anosov
    New or 'renewed' directions
    'Named' problems
    Some other achievements
    7. Foundations of computational complexity theory A. A Razborov
    8. The Schrödinger equation and symplectic geometry S. P. Novikov
    9. Rings and algebraic varieties Miles Reid
    10. Billiard table as a playground for a mathematician A. B. Katok
    11. The Fibonacci numbers and simplicity of 2127 minus 1 A. N. Rudakov
    12. On problems of computational complexity Stephen Smale
    13. Values of the -function Pierre Cartier
    14. Combinatorics of trees Pierre Cartier
    15. What is an operad Pierre Cartier?
    16. The orbit method beyond Lie groups A. A. Kirillov
    Infinite-dimensional groups
    17. The orbit method beyond Lie groups A. A. Kirillov
    Quantum groups
    18. Conformal mappings and the Ehitham equations I. M. Krichever
    19. Projective differential geometry: old and new V. Yu. Ovsienko
    20. Haken's method of normal surfaces and its applications to classification problem for 3-dimensional manifolds - the life story of one theorem S. V. Matveev.

  • Editors

    Victor Prasolov, Moscow State University

    Yulij Ilyashenko, Moscow State University

    Contributors

    V. I. Arnold, Yu. I. Manin, A. A. Kirillov, D. V. Anosov, A. A. Razborov, S. P. Novikov, Miles Reid, A. B. Katok, A. N. Rudakov, Stephen Smale, Pierre Cartier, A. A. Kirillov, I. M. Krichever, V. Yu. Ovsienko, S. V. Matveev

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