A Short Course in Differential Geometry and Topology

This volume is intended for graduates and research students in mathematics and physics. It covers general topology, nonlinear co-ordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groups, tensor analysis, and Riemannian geometry. The text is presented in a form that is easily accessible to students and is supplemented by examples, problems, drawings and appendices.A.T. Fomenko A.S. Mishchenko