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A course of differential geometry and topology

456 с. (English).
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Аннотация

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 homotopy, and variational problems