A Short Course in Differential Geometry and Topology

The book covers general topology, nonlinear co-ordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groups,tensor analysis and Riemannian geometry, theory of integration and homologies, fundamental groups and variational principles in Riemannian geometry. The text is intended for graduate and research students in mathematics and physics. The text is presented in a form that is easily accessible to students and is supplemented by a large number of examples, problems, drawings and appendices.