Modern Geometry-Methods and Applications Part I. The Geometry of Surfaces, Transformation Groups, and Fields
- 2nd ed.
- New Delhi Pringer Private Limited 2010
- xv, 468p.
This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathe- matics 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.