A Course of Differential Geometry and Topology

Fülszöveg

ALSO FROM MIR PUBLISHERS
PROBLEMS IN DIFFERENTIAL GEOMETRY AND TOPOLOGY
A. S. Mishchenko, D. Sc. (Phys.-Math.), Vu. P. Solovyev, Cand. Sc. (Phys.-Math.), A. T. Fomenko, D. Sc. (Phys.-Math.)
This problem book is compiled by eminent Moscow University teachers. Based on many years of teaching experience at the mechanics-and-mathematics department, it contains problems practically for all sections of the differential geometry and topology course delivered for university students: besides classical branches of the theory of curves and surfaces, the reader is offered problems in smooth manifold theory, Rieman-nian geometry, vector fields and differential forms, general topology, homotopy theory and elements of variational calculus. The structure of the volume corresponds to A Course of Differential Geometry and Topology by Prof. A. S. Mishchenko and Prof. A. T. Fomenko. Some problems, however, touch upon topics outside the course of lectures. The corresponding sections are provided... Tovább

Fülszöveg

ALSO FROM MIR PUBLISHERS
PROBLEMS IN DIFFERENTIAL GEOMETRY AND TOPOLOGY
A. S. Mishchenko, D. Sc. (Phys.-Math.), Vu. P. Solovyev, Cand. Sc. (Phys.-Math.), A. T. Fomenko, D. Sc. (Phys.-Math.)
This problem book is compiled by eminent Moscow University teachers. Based on many years of teaching experience at the mechanics-and-mathematics department, it contains problems practically for all sections of the differential geometry and topology course delivered for university students: besides classical branches of the theory of curves and surfaces, the reader is offered problems in smooth manifold theory, Rieman-nian geometry, vector fields and differential forms, general topology, homotopy theory and elements of variational calculus. The structure of the volume corresponds to A Course of Differential Geometry and Topology by Prof. A. S. Mishchenko and Prof. A. T. Fomenko. Some problems, however, touch upon topics outside the course of lectures. The corresponding sections are provided with all necessary theoretical foundations.
This textbook is a university course on differential geometry and topology. It includes both the classical branches of differential geometry and modern branches of geometry and topology which now find an ever extending application in various fields of mathematics and theoretical physics. These are, in particular, tensor analysis and Riemannian geometry, differential forms and cohomology, the degree of mapping and homo-topy, and variational problems. Vissza