| The New World of Mathematics | 7 |
| Geometry of the Universe | 9 |
| Group Theory and Symmetry | 25 |
| The Science of Prediction | 38 |
| Gödel's Proof and Symbolic Logic | 48 |
| Number Theory | 59 |
| Fractals, Chaos, and Catastrophe Theory | 72 |
| Computers | 88 |
| Glossary | 103 |
| Selected Reading | 106 |
| Index | 108 |