Особенности и преимущества
- Learn how to use Matlab to calculate dot and cross products and solve linear equations.
- Prove any vector identity using Cartesian tensors.
- Derive expressions for gradient, divergence, Laplacian, and curl in any curvilinear coordinate system.
- Understand covariant and contravariant components of a vector.
- Learn the meaning of Christoffel symbols in covariant differentiation.
- Learn how to derive the curvature tensor and how quaternions can be used to describe vector rotations in 3-D space.