Lectures related to Complex Numbers: Cartesian Representation

Elementary Properties of Complex Numbers

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

Complex Numbers: Operations and Properties

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

Complex Numbers: Properties and Operations

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

Complex Numbers: Operations and Representations

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

Definition of Complex Numbers Field

Introduces complex numbers and defines their field, emphasizing properties and operations.

Complex Numbers: Operations and Properties

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

Complex Numbers and 2x2 Matrices

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

Complex Numbers: Operations and Applications

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

Elementary Properties of Complex Numbers

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

Element Inverse for Multiplication

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

Complex Numbers: Imaginary Part

Demonstrates how to determine the imaginary part of a complex number.

Gauss Representation

Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.

Complex Numbers: Polar Form

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

Inverse Element for Multiplication

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

Complex Numbers: Polar Form and Multiplication

Covers the polar form of complex numbers and its advantages in multiplication.

Complex Numbers: Introduction and Properties

Covers the introduction to complex numbers and their properties, including historical background and norm calculation.

Complex Numbers: Introduction

Introduces complex numbers, covering exponential series and arithmetic operations with common rules.

Complex Numbers: Introduction and Properties

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

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Complex Numbers: Representation and Properties

Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.