- Introduction
- The continuous
- Basic differential geometry
- Definitions for curves
- Parameterizing a curve by arc length
- Curvature of curves
- Regular surfaces
- Tangent plane and surface normal
- First fundamental form
- Gauss map
- Normal curvature
- Second fundamental form (shape operator)
- Principal curvatures
- Mean and Guassian curvatures
- Classification of surface points
- Expressions for curvature of parametric surfaces
- Gauss-Bonnet theorem
- One-forms
- Closed forms
- Stokes theorem

- Deformable surface models

- Basic differential geometry
- Further reading
- Differential of a map
- Bibliography

Copyright © 2005 Adrian Secord. All rights reserved.