The millennium prize problems
Author(s)
Bibliographic Information
The millennium prize problems
American Mathematical Society , Clay Mathematics Institute, c2006
Available at 18 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
CAR||29||2200010688721
Note
Includes bibliographycal references
Description and Table of Contents
Description
Guided by the premise that solving some of the world's most important mathematical problems will advance the field, this book offers a fascinating look at the seven unsolved Millennium Prize problems. This work takes the unprecedented approach of describing these important and difficult problems at the professional level. In announcing the seven problems and a US$7 million prize fund in 2000, the Clay Mathematics Institute emphasized that mathematics still constitutes an open frontier with important unsolved problems. The descriptions in this book serve the Institute's mission to ""further the beauty, power and universality of mathematical thinking."" Separate chapters are devoted to each of the seven problems: the Birch and Swinnerton-Dyer Conjecture, the Hodge Conjecture, the Navier-Stokes Equation, the P versus NP Problem, the Poincare Conjecture, the Riemann Hypothesis, and Quantum Yang-Mills Theory. An essay by Jeremy Gray, a well-known expert in the history of mathematics, outlines the history of prize problems in mathematics and shows how some of mathematics' most important discoveries were first revealed in papers submitted for prizes.Numerous photographs of mathematicians who shaped mathematics as it is known today give the text a broad historical appeal. Anyone interested in mathematicians' continued efforts to solve important problems will be fascinated with this text, which places into context the historical dimension of important achievements. Information for our distributors: A co-publication of the AMS and the Clay Mathematics Institute (Cambridge, MA).
Table of Contents
A history of prizes in mathematics by J. Gray The Birch and Swinnerton-Dyer conjecture by A. Wiles The Hodge conjecture by P. Deligne Existence and smoothness of the Navier-Stokes equation by C. L. Fefferman The Poincare conjecture by J. Milnor The P versus NP problem by S. Cook The Riemann hypothesis by E. Bombieri Quantum Yang-Mills theory by A. Jaffe and E. Witten Rules for the Millennium Prizes Authors' biographies.
by "Nielsen BookData"