Table of Contents from
Archimedes' Revenge: The Joys and Perils of Mathematics

Introduction 1
PART I: NUMBERS 7
l. 666 and Friends 9
2. Archimedes' Revenge 26
3. Prime Prostitution 34
4. The Cryptic Case of a Swarthy Stranger 48
 
PART II: SHAPES 79
5. Adventures of an Egg Man 81
6. The Mobius Molecule 108
7. The Case of the Missing
Three-Holed Hollow Sphere with One Handle 122
 
PART III: MACHINES 135
8. Turing's Universal Machine 139
9. Did Willy Loman Die in Vain? 151
10. The Machine Who Would Be King 167
11. A Boy and His Brain Machine 190
 
PART IV: "ONE MAN, ONE VOTE" 213
12. Is Democracy Mathematically Unsound? 215
13. The Quantum Congress 249
Suggestions for Further Reading 261
Index 263