2006;
165 pp;
Hardcover

MSC: Primary 00;
Secondary 01; 11; 14; 35; 57; 03; 81

**Print ISBN: 978-0-8218-3679-8
Product Code: MPRIZE**

List Price: $32.00

Individual Member Price: $25.60

#### Supplemental Materials

# The Millennium Prize Problems

Share 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.

#### Readership

Anyone interested in the Millennium Prizes, especially graduate students.

#### Reviews & Endorsements

Given the interest generated by the Millennium Problems, this book should be in every mathematics library ...

-- MAA Reviews