Lectures related to Relations: Composition and Reciprocal

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

Explores bijections in linear algebra and the concept of cardinality between sets.

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Introduces sets, Cartesian product, order importance, and relations on sets.

Covers advanced topics in mathematical analysis, including cubes, electrical operators, LP spaces, and compact operators.

Explains the union of sets, its properties, operations, and intersection.

Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.