








Bundles, bundles, and their invariants are fundamental concepts of modern geometry that make it possible to investigate the global properties of manifolds

The book contains a short course in the theory of smooth manifolds (including the Whitney and Stokes theorems), vector bundles, de Rham cohomology, and Riemannian geometry. Numerous exercises and examples are given. The book is a paper of lectures that the author gave for second-year students of Independent Moscow University and the Faculty of Mathematics of the Higher School of Economics.
