Document from the year 2015 in the subject Mathematics - Geometry, course: Differential Geometry, language: English, abstract: This is a Lecture Notes on a one semester course on Differential Geometry taught as a basic course in all M.Sc./M.S. programmes in Mathematics. This consists normally of curve theory leading up to fundamental theorem of space curves as well as the Gauss theory of surfaces covering first fundamental form, second fundamental form, Gaussian curvature, geodesic and Gauss Bonnet theorem. This Lecture Notes is based on lectures I have given to M.Sc. Mathematics students of...