Lectures related to Elementary Properties of Complex Numbers

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

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

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

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

Explores the polar representation of complex numbers and its applications.

Delves into complex exponential functions, their properties, and polar representation of complex numbers.