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Modern Geometry. Methods and Applications: Part 2: The Geometry and Topology of Manifolds

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This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text for the second edition has been substantially revised.

Author(s): B.A. Dubrovin, A.T. Fomenko, S.P. Novikov
Series: Graduate Texts in Mathematics
Edition: 1
Publisher: Springer
Year: 1985

Language: English
Pages: 452