Lectures related to Abbreviated Calculation: Structures and Sets

Covers powers, roots, calculation rules, logarithmic functions, reciprocal functions, sets, and basic notations.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.

Covers sets, subsets, and their notation, including the power set concept.

Introduces the basics of group theory, defining groups, categories, and groupoids.