Lectures related to Definition of Complex Numbers Field

Complex Numbers: Operations and Representations

Explores complex numbers, their operations, and representations in Cartesian and polar forms.

Complex Numbers: Introduction and Properties

Introduces complex numbers to solve unsolvable equations, exploring their properties and relationship with real numbers.

Complex Numbers: Operations and Applications

Covers the properties and operations of complex numbers and their applications.

Linear Equations and Matrices: Solution Methods, Elementary Operations

Explores solution methods and elementary operations for linear equations and matrices, demonstrating techniques to simplify systems and obtain solutions.

Complex Numbers and 2x2 Matrices

Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.

Complex Numbers: Operations and Polar Form

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Complex Numbers: Operations and Properties

Explores complex numbers, including modulus, conjugation, and Euler formula.

Elementary Properties of Complex Numbers

Covers the elementary properties of complex numbers and how to find real and imaginary parts.

Elementary Properties of Complex Numbers

Covers the elementary properties of complex numbers through examples and discusses the regions of the complex plane.

Complex Numbers: Algebraic Structures and Applications

Covers algebraic structures, real numbers, fields, and the applications of complex numbers in science and engineering.

Analysis I: Functions of a Variable

Introduces fundamental concepts of Analysis I, focusing on functions of a variable and numerical sequences.

Complex Numbers: Cartesian Representation

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

Complex Numbers: Properties and Operations

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Complex Numbers: Operations and Properties

Covers the representation and properties of complex numbers, including real and imaginary parts and geometric applications.

Inverse Element for Multiplication

Covers the inverse element for multiplication and introduces the Euler and Moivre formulas in complex numbers.

Element Inverse for Multiplication

Covers the concept of element inverse for multiplication in complex numbers.

Complex Numbers: Definition

Covers the construction and properties of complex numbers, introducing the new constant 'i'.

Polynomials: Operations and Properties

Explores polynomial operations, properties, and subspaces in vector spaces.

Complex Numbers: Module and Conjugate

Covers the manipulation of algebraic laws on complex numbers.

Complex Numbers: Polar Form

Covers the polar form of complex numbers and its applications in mathematical calculations.