Modern Geometry - Methods and Applications : Part I : The Geometry of Surfaces, Transformation Groups, and Fields :  Part I : The Geometry of Surfaces, Transformation Groups, and Fields - B. A. Dubrovin

Modern Geometry - Methods and Applications : Part I : The Geometry of Surfaces, Transformation Groups, and Fields

Part I : The Geometry of Surfaces, Transformation Groups, and Fields

By: B. A. Dubrovin, A. T. Fomenko, S. P. Novikov

Hardcover | 1 November 1991 | Edition Number 2

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This is the first volume of a three-volume introduction to modern geometry which emphasizes 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 new edition offers substantial revisions, and the material is written in concrete language with terminology acceptable to physicists.

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