Complex Logarithm: Extension and Polar Form

Related lectures (28)

Page 1 of 3

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

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

Explores complex numbers in polar form, Euler's formula, and coordinate transformation.

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

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

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

Explores complex hyperbolic and trigonometric functions, defining key properties and relationships with exponential functions.

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

Covers the introduction and operations of complex numbers in physics and engineering applications.

Covers the integration of rational functions and the decomposition into irreducible factors.