Introduction vii 1. Infinity 1 2. The Man Who Harnessed Infinity 27 3. Discovering the Laws of Motion 59 4. The Dawn of Differential Calculus 89 5. The Crossroads 123 6. The Vocabulary of Change 141 7. The Secret Fountain 167 8. Fictions of the Mind 199 9. The Logical Universe 227 10. Making Waves 249 11. The Future of Calculus 271 Conclusion 295