Geometry

Introduction Euclidean geometry Isometries of the Euclidean plane Curves in Rn Spherical geometry Triangles on a sphere Mobius geometry Triangulations and the Euler number Hyperbolic geometry Review of derivatives and chain rule Riemannian metrics Two models for the hyperbolic plane Geometry of the hyperbolic disk Hyperbolic triangles Hyperboloid model Smooth embedded surfaces (in R3) Smooth embedded surfaces Geodesics Surfaces of revolution Gaussian curvature Abstract smooth surfaces