– Covariant and contravariant components – Metric tensor and its properties – Christoffel symbols (first & second kind) – Covariant differentiation – Gradient, divergence, curl in general coordinates – Physical components
Ali excels at explaining that ds² = g_ij dx^i dx^j . The repack typically clarifies the difference between indicial notation and matrix representation. Memorize the formula for g^ij (the conjugate metric tensor) – it appears in every exam. – Covariant and contravariant components – Metric tensor
: Digital versions of the third edition are frequently hosted on for online reading. specific solutions to problems in Chapter 7, or do you need a download link for the complete study pack? – Covariant and contravariant components – Metric tensor