A Primer in Tensor Analysis and Relativity

Table of Contents

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   Book Overview
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   Chapter 1 Linear Spaces, Vectors, and Tensors
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   Chapter 2 Operations over Tensors, Metric Tensor
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   Chapter 3 Symmetric, Skew(Anti) Symmetric Tensors, and Determinants
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   Chapter 4 Curvilinear Coordinates, Local Coordinate Transformations
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   Chapter 5 Derivatives of Tensors, Covariant Derivatives
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   Chapter 6 Grad, div, rot, and Relations Between Them
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   Chapter 7 Grad, div, rot, and $$\Delta $$ in Cylindric and Spherical Coordinates
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   Chapter 8 Curvilinear, Surface, and D -Dimensional Integrals
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    Chapter 9 Theorems of Green, Stokes, and Gauss
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    Chapter 10 Solutions to the Exercises from Part 1
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    Chapter 11 Maxwell Equations and Lorentz Transformations
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    Chapter 12 Laws of Relativistic Mechanics
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    Chapter 13 Maxwell Equations in Relativistic Form
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    Chapter 14 Equivalence Principle, Covariance, and Curvature Tensor
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    Chapter 15 Einstein Equations, Schwarzschild Solution, and Gravitational Waves
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    Chapter 16 Basic Elements of Cosmology
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    Chapter 17 Special Sections