Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Vector Calculus TheoremsExplores the Gauss and Green theorems in vector calculus, showcasing their applications through practical examples and geometric interpretations.
Information Measures: Part 2Covers information measures like entropy, joint entropy, and mutual information in information theory and data processing.
Gradient, divergenceCovers the definitions of gradient and divergence, including the Cartesian coordinate system and the divergence theorem.
Symmetries and Conservation LawsCovers symmetries and conservation laws in fluid dynamics, emphasizing the importance of maximizing symmetries in ideal fluid systems.