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Lecture

Fourier Series and Equations

Description

This lecture covers Fourier series and equations, including the resolution of differential issues using the Fourier series. It also explores periodic functions and the application of Fourier transforms to study various functions.

Official source

Ontological neighbourhood

Mathematics

Analysis: Differential anaysis, Complex analysis

Information engineering

Signal processing: Fourier analysis

Related concepts (31)

Fourier transform

In physics and mathematics, the Fourier transform (FT) is a transform that converts a function into a form that describes the frequencies present in the original function. The output of the transform is a complex-valued function of frequency. The term Fourier transform refers to both this complex-valued function and the mathematical operation. When a distinction needs to be made the Fourier transform is sometimes called the frequency domain representation of the original function.

Trigonometric functions

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others. They are among the simplest periodic functions, and as such are also widely used for studying periodic phenomena through Fourier analysis.

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A Lesson in Romantics

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