Complex Plane: Introduction and Operations

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Related lectures (33)

Complex Numbers: Applications and Representations Log in to Mediaspace to watch this video

Explores the origin, applications, and representations of complex numbers in crystallography and materials science, including their graphical, polar, and exponential forms.

Complex Numbers: Polar Form Log in to Mediaspace to watch this video

Covers the polar form of complex numbers and its applications in mathematical calculations.

Complex Numbers and 2x2 Matrices Log in to Mediaspace to watch this video

Covers complex numbers, quadratic equations, solutions in C, and 2x2 matrices.

Absolute Value and Complex Numbers Log in to Mediaspace to watch this video

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

Analytical Extension of Gamma Function Log in to Mediaspace to watch this video

Covers the analytical extension of the Gamma function to real and complex numbers, discussing properties and convergence.

Complex Numbers: Convergence, Equations, and Exponential Functions Log in to Mediaspace to watch this video

Covers convergence of power series, complex equations, exponential functions, and function properties.

Complex Numbers: Operations and Polar Form Log in to Mediaspace to watch this video

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Complex Numbers: Definitions and Applications Log in to Mediaspace to watch this video

Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.

Magnetic Fields and Complex Numbers Log in to Mediaspace to watch this video

Explores magnetic fields from moving charges and the properties of complex numbers.

Complex Logarithm: Extension and Polar Form Log in to Mediaspace to watch this video

Covers the extension of the logarithm to complex numbers and explores the relationship with trigonometric functions.

Inverse Laplace Transform: Examples Log in to Mediaspace to watch this video

Covers the inverse Laplace transform with examples and methods for solving complex roots.

Linear Transformations: Dimension Theorems Log in to Mediaspace to watch this video

Covers dimension theorems for linear transformations, bijectivity, isomorphism, dual spaces, and canonical applications.

Functional Equation of Zeta Log in to Mediaspace to watch this video

Covers the functional equation of zeta function and Jensen's formula in complex analysis.

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