Explores curvature, inflection points, and angular functions in plane curves, highlighting the importance of inflection points.
Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Explores geodesics, parallel transport, and the Riemann tensor on two-dimensional manifolds, emphasizing fundamental concepts in differential geometry.
Explores normal curvature on a surface, discussing oriented curvature, existence proofs, and elimination methods for finding curvature.
