Description: |
This course introduces the notation and ideas of modern Differential Geometry that form an essential background to many fields in Mathematics and Physics. It develops the theory of manifolds and bundles from a largely intuitive standpoint, and discusses the geometric notions of metric, connexion, geodesic, and curvature. Extensive notes are supplied. The course is an essential prerequisite for MATH 465.
Topics include:
- Topological Manifolds and differentiable structure.
- Affine connexion and Curvature: the Riemann tensor.
- Exterior differential forms: generalized Stokes' theorem.
Despite what the "Guide to Enrollment" says, this course is offered in 2009. |