Complex Numbers: Operations and Properties

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Related lectures (30)

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Complex Numbers: Introduction and Operations

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

Introduction to Complex Numbers

Introduces complex numbers, their representations, formulas, and algebraic equations.

Complex Numbers: Polar Representation

Explores the polar representation of complex numbers and its applications.

Complex Numbers: Algebraic Structure

Explores the algebraic structure and properties of complex numbers, including Euler's and Moivre's formulas.

Harmonic Forms: Main Theorem

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

Complex Numbers: Polar Form

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

Complex Numbers: Roots and Equations

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

Complex Numbers: Cartesian Representation

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

Complex Numbers: Properties and Applications

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

Complex Numbers: Definitions and Properties

Covers the definitions and properties of complex numbers, including the field of complex numbers, the conjugate, the real and imaginary parts, algebraic form, modulus, and argument.