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

Graduate Texts in Mathematics #93

by B.A. Dubrovin, A. T. Fomenko, S. P. Novikov

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.

Genres: Mathematics, Geometry

464 pages, Hardcover

First published March 16, 1984

Reviews

[Lulu]

Geometry and topology, straight up