Ebook: Modern Geometry — Methods and Applications: Part I. The Geometry of Surfaces, Transformation Groups, and Fields
- Tags: Geometry
- Series: Graduate Texts in Mathematics 93
- Year: 1984
- Publisher: Springer New York
- Language: English
- pdf
Content:
Front Matter....Pages i-xv
Geometry in Regions of a Space. Basic Concepts....Pages 1-60
The Theory of Surfaces....Pages 61-144
Tensors: The Algebraic Theory....Pages 145-233
The Differential Calculus of Tensors....Pages 234-312
The Elements of the Calculus of Variations....Pages 313-374
The Calculus of Variations in Several Dimensions. Fields and Their Geometric Invariants....Pages 375-454
Back Matter....Pages 455-464
Content:
Front Matter....Pages i-xv
Geometry in Regions of a Space. Basic Concepts....Pages 1-60
The Theory of Surfaces....Pages 61-144
Tensors: The Algebraic Theory....Pages 145-233
The Differential Calculus of Tensors....Pages 234-312
The Elements of the Calculus of Variations....Pages 313-374
The Calculus of Variations in Several Dimensions. Fields and Their Geometric Invariants....Pages 375-454
Back Matter....Pages 455-464
....
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