# Book:Keith Devlin/The Millennium Problems

## Keith Devlin: The Millennium Problems: the Seven Greatest Unsolved Mathematical Puzzles of Our Time

Published $2002$, Granta

ISBN 1-86207-735-5.

### Contents

Preface
ZERO The Gauntlet is Thrown
ONE The Music of the Primes:
The Riemann Hypothesis
APPENDIX 1. EUCLID'S PROOF THAT THERE ARE INFINITELY MANY PRIMES
APPENDIX 2. HOW DO MATHEMATICIANS WORK OUT INFINITE SUMS?
APPENDIX 3. HOW EULER DISCOVERED THE ZETA FUNCTION
TWO The Fields We Are Made Of:
Yang-Mills Theory and the Mass Gap Hypothesis
APPENDIX. GROUP THEORY: THE MATHEMATICS OF SYMMETRY
THREE When Computers Fail:
The P vs. NP Problem
FOUR Making Waves:
The Navier-Stokes Equations
FIVE The Mathematics of Smooth Behavior:
The Poincaré Conjecture
SIX Knowing When the Equation Can't Be Solved:
The Birch and Swinnerton-Dyer Conjecture
APPENDIX: NOTATION FOR INFINITE SUMS AND PRODUCTS
SEVEN Geometry Without Pictures:
The Hodge Conjecture