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.
| ISBN: | 9780387976631 |
| Publication date: | 11th November 1991 |
| Author: | B A Dubrovin, A T Fomenko, S P Novikov |
| Publisher: | Springer an imprint of Springer New York |
| Format: | Hardback |
| Series: | Graduate Texts in Mathematics |
| Genres: |
Differential and Riemannian geometry Cybernetics and systems theory Optimization Mathematical physics |