Complex Numbers: Definitions and Applications

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Related lectures (27)

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Roots of n-th Degree

Covers the concept of roots of n-th degree in complex numbers and their exact solutions.

Complex Numbers: Representations and Rotations

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

Complex Roots and Polynomials

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.

Polynomials with Real Coefficients

Explores polynomials with real coefficients, complex roots, and sequences' properties.

Complex Numbers: Representations

Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.

Modules and Namespaces

Explores Python modules, program hierarchy, module importing, and namespaces, including variables and scopes within functions.

Complex Numbers: Roots and Polynomials

Covers the properties of complex numbers, including finding roots and factorizing polynomials.

Complex Numbers: Roots and Equations

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

Complex Numbers: Properties and Operations

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

Complex Numbers: Trigonometric Formulas

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