Complex Numbers: Introduction and Operations

Related lectures (30)

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

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

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

Explores properties and applications of complex numbers, including De Moivre's theorem and finding complex roots.

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

Covers the demonstration of Euler's formula and its applications.

Explains the polar form of complex numbers and Euler's formula in the complex plane.

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

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

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