Chapter 1. Preliminary observations
Chapter 2. Affine tensor algebra in Euclidean geometry
Chapter 3. Tensor analysis on manifolds
Chapter 4. Additional topics from the tensor calculus
Chapter 5. The calculus of differential forms
Chapter 6. Invariant problems in the calculus of variations
Chapter 7. Riemannian geometry
Chapter 8. Invariant variational principles and physical field theories
Appendix. Tensors and forms on differentiable manifolds
Bibliography
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