Discrete differentiable geometry is a new subject originated from computer graphics. It has potential applications in geometric processing, computer aided design, elastic material simulations, fluid flow simulations, electric-magnetic wave propagation, etc. In this course, we will basically follow Professor Keenan Crane’s lecture Note at CMU. The contents include
1. Combinatorial Surfaces
2. Curves
2. A quick and Dirty Introduction to Exterior Calculus
3. Topological Invariants of Discrete Surfaces
4. Normals of Discrete Surfaces
5. The Laplacian
6. Surface Parameterization
7. Vector Field Decomposition and Design
Students who are taking undergraduate geometry or differential geometry are encouraged to learn this subject. Students who have no background on any geometry are also encouraged to learn this subject to get geometric intuition.