The Millennium Prize Problems

Front Cover
James Carlson, James A. Carlson, Arthur Jaffe, Andrew Wiles, Clay Mathematics Institute, American Mathematical Society
American Mathematical Soc., 2006 - Mathematics - 165 pages
On August 8, 1900, at the second International Congress of Mathematicians in Paris, David Hilbert delivered his famous lecture in which he described twenty-three problems that were to play an influential role in mathematical research. A century later, on May 24, 2000, at a meeting at the College de France, the Clay Mathematics Institute (CMI) announced the creation of a US$7 million prize fund for the solution of seven important classic problems which have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI--Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten--after consulting with other leading mathematicians. Their aim was somewhat different than that of Hilbert: not to define new challenges, but to record some of the most difficult issues with which mathematicians were struggling at the turn of the second millennium; to recognize achievement in mathematics of historical dimension; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; and to emphasize the importance of working towards a solution of the deepest, most difficult problems. The present volume sets forth the official description of each of the seven problems and the rules governing the prizes. It also contains an essay by Jeremy Gray on the history of prize problems in mathematics.
 

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Contents

JEREMY GRAY
3
ANDREW WILES
31
PIERRE DELIGNE
45
JOHN MILNOR
71
The P versus NP Problem
85
ENRICO BOMBIERI
107
ARTHUR JAFFE AND EDWARD WITTEN
129
Rules for the Millennium Prizes
153
Copyright

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