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The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time
Author:  Keith J. Devlin
Publisher:  Basic Books
Pub. Date:  Oct 1, 2002
Binding:  Hardcover
Pages:  288
ISBN:  0465017290
List Price:  26.00 USD
Amazon Sales Rank:  587,234
Bn.com Sales Rank:  18,805
Amazon UK Sales Rank:  536,944
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Editorial Reviews (Courtesy of Amazon.com)

Book Description
The definitive lay reader's account of the Everests of mathematics--the seven unsolved problems that definethe state of the art in contemporary math.

In 2000, the Clay Foundation of Cambridge, Massachusetts, announced a historic competition: whoever could solve any of seven extraordinarily difficult mathematical problems, and have the solution acknowledged as correct by the experts, would receive $1 million in prize money. There was some precedent for doing this: in 1900 David Hilbert, one of the greatest mathematicians of his day, proposed twenty-three problems, now known as the Hilbert Problems, that set much of the agenda for mathematics in the twentieth century. The Millennium Problems are likely to acquire similar stature, and their solution (or lack of one) is likely to play a strong role in determining the course of mathematics in the current century. Keith Devlin, renowned expositor of mathematics, tells here what the seven problems are, how they came about, and what they mean for math and science.

These problems are the brass rings held out to today's mathematicians, glittering and just out of reach. In the hands of Keith Devlin, "the Math Guy" from NPR's "Weekend Edition," each Millennium Problem becomes a fascinating window onto the deepest and toughest questions in the field. For mathematicians, physicists, engineers, and everyone else with an interest in mathematics' cutting edge, The Millennium Problems is the definitive account of a subject that will have a very long shelf life.

Table of Contents (Courtesy of Barnes & Noble.com)

Preface
The Gauntlet is Thrown1
1The Music of the Primes: The Riemann Hypothesis19
2The Fields We Are Made Of: Yang-Mills Theory and the Mass Gap Hypothesis63
3When Computers Fail: The P vs. NP Problem105
4Making Waves: The Navier-Stokes Equations131
5The Mathematics of Smooth Behavior: The Poincare Conjecture157
6Knowing When the Equation Can't Be Solved: The Birch and Swinnerton-Dyer Conjecture189
7Geometry Without Pictures: The Hodge Conjecture213
Further Reading229
Index231