Implicit Functions: Introduction and Examples

Explores functors, natural transformations, and the theory of groups, emphasizing the importance of comparisons and structure preservation.

Explores active learning in Group Theory, focusing on products, coproducts, adjunctions, and natural transformations.

Explores examples of natural transformations, equivalence of categories, and adjunction with specific instances involving Un.

Introduces the key concepts of convexity and its applications in different fields.

Discusses the minimization of the Hartree-Fock functional for N fermions and the variational principle in quantum physics.