Complex Numbers: Representation and Properties

Related lectures (31)

Page 3 of 4

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

Explores complex numbers, trigonometric functions, De Moivre's formulas, and complex plane representation.

Explains complex numbers in single-phase sinusoidal circuits and their geometric representation, Euler's formula, and complex exponential functions.

Covers the representation of complex numbers and their applications in mathematical transformations.

Explores the representation and rotation of complex numbers in the complex plane.

Explores magnetic fields from moving charges and the properties of complex numbers.

Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.

Explores holomorphic functions, Cauchy-Riemann conditions, and principal argument values in complex analysis.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

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