Lectures related to Posets and Equivalence Relations

Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.

Explains group representation, character, and theory, emphasizing orthogonality and equivalence.

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

Covers set equality, subsets, proper subsets, and techniques for showing equality of sets.

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

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

Covers operations on sets and Venn diagrams for set operations.

Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.

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

Covers sets in Scala, N-Queens problem, and recursive algorithms.