MA 5531 - Introduction to Manifolds

This course introduces the concept of a manifold, and uses it to explain how the traditional Euclidean and non-Euclidean geometries are simply special cases of this more general type of space. Specific topics will include the curvature of curves and surfaces, geodesics, topology of surfaces, the Gauss-Bonnet theorem, introduction to 3-manifolds, and visualizing the curvature of space.

Prerequisites & Notes
Upper-level undergraduate course in geometry.

Credits: 3 SH