| Chapter 1 | Plane Curves: Local Properties |
| Chapter 2 | Plane Curves: Global Properties |
| Chapter 3 | Curves in Space: Local Properties |
| Chapter 4 | Curves in Space: Global Properties |
| Chapter 5 | Regular Surfaces |
| Chapter 6 | The First and Second Fundamental Forms |
| Chapter 7 | The Fundamental Equations of Surfaces |
| Chapter 8 | Curves on Surfaces |
