chapter 1 Basic Results -- chapter 2 Invariant Solutions for the Curve Shortening Flow -- chapter 3 The Curvature-Eikonal Flow for Convex Curves -- chapter 4 The Convex Generalized Curve Shortening Flow -- chapter 5 The Non-convex Curve Shortening Flow -- chapter 6 A Class of Non-convex Anisotropic Flows -- chapter 7 Embedded Closed Geodesics on Surfaces -- chapter 8 The Non-convex Generalized Curve Shortening Flow.