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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

Hardcover

Published: November 1991
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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.

Geometry in Regions of a Spaces. Basic Concepts
The Theory of Surfaces
Tensors: The Algebraic Theory
The Differential Calculus of Tensors
The Elements of the Calculus of Variations
The Calculus of Variations in Several Dimensions
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387976631
ISBN-10: 0387976639
Series: Graduate Texts in Mathematics
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 470
Published: November 1991
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.4 x 15.7  x 3.3
Weight (kg): 0.7
Edition Number: 2
Edition Type: Revised