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Introduction to Tensor Analysis and the Calculus of Moving Surfaces

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Cover of 'Introduction to Tensor Analysis and the Calculus of Moving Surfaces'

Table of Contents

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    Book Overview
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    Chapter 1 Why Tensor Calculus?
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    Chapter 2 Rules of the Game
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    Chapter 3 Coordinate Systems and the Role of Tensor Calculus
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    Chapter 4 Change of Coordinates
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    Chapter 5 The Tensor Description of Euclidean Spaces
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    Chapter 6 The Tensor Property
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    Chapter 7 Elements of Linear Algebra in Tensor Notation
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    Chapter 8 Covariant Differentiation
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    Chapter 9 Determinants and the Levi-Civita Symbol
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    Chapter 10 The Tensor Description of Embedded Surfaces
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    Chapter 11 The Covariant Surface Derivative
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    Chapter 12 Curvature
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    Chapter 13 Embedded Curves
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    Chapter 14 Integration and Gauss’s Theorem
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    Chapter 15 The Foundations of the Calculus of Moving Surfaces
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    Chapter 16 Extension to Arbitrary Tensors
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    Chapter 17 Applications of the Calculus of Moving Surfaces
Attention for Chapter 8: Covariant Differentiation
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