[Tensor Calculus] Notes on Tensor Calculus

Notes

• 01_Recap_Multivariate Calculus

• 02_Covector and Contravariance

• 03_Tensor Product - Raising and Lower Index with Metric Tensor

• 04_Metric Tensor - Arc Length on Flat or Curved Space

• 05_Gradient vs Differential Operator

• 06_Geodesic Euqation and Crystoffel Symbols

• 07_Covariant Derivative (Extrinsic Geometry) and Parallel Transport

• 08_Covariant Derivative (Intrinsic Geometry)

• 09_Abstract Covariant Derivative (Levi-Civita Connection)

• 10_Covariant Derivative for Arbitrary Fields (Scalar, Vector, Covector, Tensor Fields)

Additional notes will be uploaded here as my studies on tensor calculus progress in the future.