Complex Numbers: Polar Representation

Related lectures (30)

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

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Explores complex numbers, roots, equations, and polynomial factorization with real coefficients.

Covers the operations and representations of complex numbers, including the Cartesian and polar forms.

Covers De Moivre's formula for finding roots of complex numbers and the concept of complex exponential.

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

Covers angular momentum in rotations, including preservation of angles and vector products.

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

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

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.