Lectures related to Complex Numbers: Operations and Properties

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

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

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

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

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

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

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

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

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

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

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

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

Introduces quantum mechanics, covering S-matrix, scattering amplitudes, and optical theorem.

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

Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.

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

Showcases examples of complex numbers in polar form and their operations.

Covers the polar form of complex numbers, emphasizing the importance of the argument.

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

Covers additional definitions and basic properties of complex numbers, including conjugate and absolute value.