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Modern Geometry-Methods and Applications(Part I. The Geometry of Surfaces, Transformation Groups, and Fields)
B A Dubrovin,  A T Fomenko,  Sergei Petrovich Novikov
Price
1265.00
ISBN
9788184896558
Language
English
Pages
484
Format
Paperback
Dimensions
158 x 240 mm
Year of Publishing
2010
Territorial Rights
Restricted
Imprint
Springer
Catalogues

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.

Chapter 1
Geometry in Regions of a Space, Basic Concepts
Chapter 2
The Theory of Surfaces
Chapter 3
Tensors: The algebraic Theory
Chapter 4
The Differential calculus of Tensors
Chapter 5
The Elements of the Calculus of Variations
Chapter 6
The Calculus of Variations in Several Dimensions, Fields and Their Geometric Invariants
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