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The Einstein Summation Convention. Basic Linear Algebra for Tensors. General Tensors. Tensor Operations. Tests for Tensor Character. The Metric Tensor. The Derivative of a Tensor. Further Riemannian Geometry. Riemannian Curvature. Spaces of Zero Curvature. Tensors in Differential Geometry. Tensors in Mechanics. Tensors in Special Relativity. Tensors Without Coordinates. Introduction to Tensor Manifolds.
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