Lectures related to Counting: The Sum Rule

Covers the definition of applications, image of elements, and direct and reciprocal images.

Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.

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

Introduces the concept of relations, composition, and reciprocity between sets.

Explores cardinality in sets and properties of groups, including commutativity and examples of abstract groups.

Covers tuples, sets, and dictionaries in Python, explaining their similarities and differences, common operations, and key concepts.

Covers set equality, subsets, proper subsets, and Venn diagrams.