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9780465017294

The Millennium Problems

by ;
  • ISBN13:

    9780465017294

  • ISBN10:

    0465017290

  • Format: Hardcover
  • Copyright: 2002-10-01
  • Publisher: Basic Books
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List Price: $26.00

Summary

The definitive account of the Everests of mathematics--the seven unsolved problems that define the state of the art in contemporary math

Author Biography

Keith Devlin is the Executive Director of the Center for the Study of Language and Information at Stanford University.

Table of Contents

Preface vii
The Gauntlet is Thrown
1(18)
The Music of the Primes: The Riemann Hypothesis
19(44)
Appendix 1. Euclid's Proof that there are infinitely many Primes
53(2)
Appendix 2. How Do Mathematicians work Out Infinite Sums?
55(4)
Appendix 3. How Euler Discovered the Zeta Function
59(4)
The Fields We Are Made Of: Yang-Mills Theory and the Mass Gap Hypothesis
63(42)
Appendix, Group Theory: the Mathematics of Symmetry
97(8)
When Computers Fail: The P vs. NP Problem
105(26)
Making Waves: The Navier-Stokes Equations
131(26)
The Mathematics of Smooth Behavior: The Poincare Conjecture
157(32)
Knowing When the Equation Can't Be Solved: The Birch and Swinnerton-Dyer Conjecture
189(24)
Appendix: Notation for infinite sums and products
209(4)
Geometry Without Pictures: The Hodge Conjecture
213(16)
Further Reading 229(2)
Index 231

Supplemental Materials

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