If you are using a PDF for quick reference, try focusing on the at the end of each chapter—they are arguably the most valuable part of the book for exam preparation. Final Thoughts
Details covariant differentiation, divergence of vectors, and the Laplacian of scalars. Curvature & Identities: tensor calculus mc chaki pdf
: Pay close attention to scalar invariants (quantities that don't change with coordinate shifts), as these are the "physics" within the math. If you are using a PDF for quick
Use Chaki to learn "how" to calculate. Use a book like Schutz's "A First Course in General Relativity" to learn "why" you are calculating. divergence of vectors