Curves and Surfaces Lecture Notes for Geometry 1 Henrik Schlichtkrull Univ

Curves and SurfacesLecture Notes for Geometry 1Henrik SchlichtkrullDepartment of Mathematics University of CopenhageniiiPrefaceThe topic of these notes is differential geometry. Differential geometry is the study of geometrical objects using techniques of differential calculus, in particular differentiation of functions. The objects that will be studied here are curves and surfaces in two- and three-dimensional space, and they are primarily studied by means of parametrization. The main propertie