| Introduction | p. ix |
| The Story of Euclid | |
| The First Revolution | p. 3 |
| The Geometry of Taxation | p. 4 |
| Among the Seven Sages | p. 11 |
| The Secret Society | p. 17 |
| Euclid's Manifesto | p. 29 |
| A Beautiful Woman, a Library, and the End of Civilization | p. 39 |
| The Story of Descartes | |
| The Revolution in Place | p. 53 |
| The Origin of Latitude and Longitude | p. 55 |
| The Legacy of the Rotten Romans | p. 60 |
| The Discreet Charm of the Graph | p. 70 |
| A Soldier's Story | p. 79 |
| Iced by the Snow Queen | p. 90 |
| The Story of Gauss | |
| The Curved Space Revolution | p. 95 |
| The Trouble with Ptolemy | p. 98 |
| A Napoleonic Hero | p. 107 |
| The Fall of the Fifth Postulate | p. 115 |
| Lost in Hyperbolic Space | p. 121 |
| Some Insects Called the Human Race | p. 127 |
| A Tale of Two Aliens | p. 136 |
| After 2,000 Years, a Face-lift | p. 143 |
| The Story of Einstein | |
| Revolution at the Speed of Light | p. 153 |
| Relativity's Other Albert | p. 157 |
| The Stuff of Space | p. 163 |
| Probationary Technical Expert, Third Class | p. 176 |
| A Relatively Euclidean Approach | p. 182 |
| Einstein's Apple | p. 193 |
| From Inspiration to Perspiration | p. 205 |
| Blue Hair Triumphs | p. 210 |
| The Story of Witten | |
| The Weird Revolution | p. 217 |
| Ten Things I Hate About Your Theory | p. 219 |
| The Birth of Strings | p. 235 |
| The Necessary Uncertainty of Being | p. 223 |
| Clash of the Titans | p. 228 |
| A Message in a Kaluza-Klein Bottle | p. 231 |
| Particles, Schmarticles! | p. 239 |
| The Trouble with Strings | p. 249 |
| The Theory Formerly Known as Strings | p. 255 |
| Epilogue | p. 263 |
| Notes | p. 267 |
| Acknowledgments | p. 293 |
| Index | p. 295 |