The Millennium Prize ProblemsShare this page
Edited by James Carlson; Arthur Jaffe; Andrew Wiles
A co-publication of the AMS and Clay Mathematics Institute
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 Poincaré 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.
Table of Contents
Table of Contents
The Millennium Prize Problems
Anyone interested in the Millennium Prizes, especially graduate students.
Given the interest generated by the Millennium Problems, this book should be in every mathematics library ...
-- MAA Reviews