Modern Mathematical Methods in Theoretical Physics

Lecture 3. 1-forms. Vector fields and integral curves. Lie brackets. Examples of 1-forms. Dirac's delta-function. Basis 1-forms and 1-form components. Lecture 4. Tensors. Tensor fields. Tensor components. Operations on tensor components. Functions and scalars. Metric tensor field on a manifold. Lecture 5. Lie … ................
................