Lectures related to Complex Numbers: Definition

Covers the introduction and operations of complex numbers, including powers and roots.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Covers irreducible polynomials, fundamental theorem of algebra, and factorization in complex and real polynomials.

Explores the existence of an infinite number of complex numbers z.

Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.

Covers the Cartesian representation of complex numbers and basic operations involving them.

Explains the independence of events and sets in an algebraic context.