Tensor Calculus
including 300 solved problems 1. The Einstein Summation Convention 2. Basic Linear Algebra for Tensors 3. General Tensors 4. Tensor Operations 5. Tests for Tensor Character 6. The Metric Tensor 7. The Derivative of a Tensor 8. Further Riemannian Geometry 9. Riemannian Curvature 10. Spaces of Zero Curvature 11. Tensors in Differential Geometry 12. Tensors in Mechanics 13. Tensors in Special Relativity 14. Tensors Without Coordinates 15. Introduction to Tensor Manifolds. |