Lectures related to Set Union: Basics and Properties

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

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

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

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

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

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

Explores the Cartesian product of sets, subsets, and recurrence in mathematics with examples and exercises.

Introduces set intersection, its properties, and its relation to arithmetic operations.

Covers set operations and their relations to propositional logic, including cardinality.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.

Covers operations on sets and Venn diagrams for set operations.

Covers set operations and their analogies to propositional logic connectives, including the cardinality of set union.

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

Covers basic notations related to sets and subsets, including elements and subsets.

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

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

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

Explores set identities as analogues of logical equivalences in propositional logic.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Explores subset properties, contraposition, and equivalence in linear algebra.