Lectures related to Algebra of sets

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Introduces Cartesian product and induction for proofs using integers and sets.

Introduces fundamental concepts of linear algebra, focusing on sets and operations.

Covers the proof of the Jordan Curve Theorem and the properties of embedded spheres.

Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.

Explores algebraic operations on Dedekind cuts, illustrating with examples.

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Explores tuples, sets, and dictionaries in Python, covering immutability, uniqueness, and key-value pairs.

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

Covers radical ideals, Nullstellensatz, primary ideals, and algebraic sets.

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

Covers set identities and different approaches to prove them, including set builder notation and membership tables.

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

Covers linear algebra concepts with a focus on functions and their properties.

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

Covers the properties and sets related to linear algebra, emphasizing the importance of understanding these concepts.

Covers algebraic operations on limits, indeterminate forms, and fundamental limits.

Explores the integrality gap concept in set cover and multiplicative weights algorithms.