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Contents
Chapter 1: Introduction
Chapter 2: Euclidean Spaces
Chapter 3: Further Attributes of a Euclidean Space
Chapter 4: Differentiation of Vectors
Chapter 5: Geometric Analysis of Curves
Chapter 6: Coordinate Systems in a Euclidean Space
Chapter 7: The Basic Elements of the Tensor Notation
Chapter 8: Illustrative Applications of the Tensor Notation
Chapter 9: Fundamental Objects in the Euclidean Space
Chapter 10: Coordinate Space Analysis
Chapter 11: Index Juggling
Chapter 12: The Christoffel Symbol
Chapter 13: Transformation of Variants under Coordinate Changes
Chapter 14: The Tensor Property
Chapter 15: The Covariant Derivative
Chapter 16: The Permutation Systems and the Determinant
Chapter 17: The Levi-Civita Symbol and the Cross Product
Chapter 18: Elements of Vector Calculus
Chapter 19: Linear Algebra, Matrices, and the Tensor Notation
Chapter 20: Riemannian Spaces
An Introduction to Tensor Calculus
Chapter 1: Introduction
Chapter 2: Euclidean Spaces
Chapter 3: Further Attributes of a Euclidean Space
Chapter 4: Differentiation of Vectors
Chapter 5: Geometric Analysis of Curves
Chapter 6: Coordinate Systems in a Euclidean Space
Chapter 7: The Basic Elements of the Tensor Notation
Chapter 8: Illustrative Applications of the Tensor Notation
Chapter 9: Fundamental Objects in the Euclidean Space
Chapter 10: Coordinate Space Analysis
Chapter 11: Index Juggling
Chapter 12: The Christoffel Symbol
Chapter 13: Transformation of Variants under Coordinate Changes
Chapter 14: The Tensor Property
Chapter 15: The Covariant Derivative
Chapter 16: The Permutation Systems and the Determinant
Chapter 17: The Levi-Civita Symbol and the Cross Product
Chapter 18: Elements of Vector Calculus
Chapter 19: Linear Algebra, Matrices, and the Tensor Notation
Chapter 20: Riemannian Spaces
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