FOURIER SERIES Definition & Meaning

Fourier series

noun

Mathematics.

an infinite series that involves linear combinations of sines and cosines and approximates a given function on a specified domain.

Fourier series

noun

an infinite trigonometric series of the form 1 2 a 0 + a 1 cos x + b 1 sin x + a 2 cos 2 x + b 2 sin 2 x + …, where a 0 , a 1 , b 1 , a 2 , b 2 … are the Fourier coefficients . It is used, esp in mathematics and physics, to represent or approximate any periodic function by assigning suitable values to the coefficients

Fourier series

An infinite series whose terms are constants multiplied by sine and cosine functions and that can, if uniformly convergent, approximate a wide variety of functions.

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51�Թ� History and Origins

Origin of Fourier series¹

First recorded in 1875–80; Fourier analysis

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Example Sentences

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Mathematically, the book incorporates complex analysis, Fourier series, abstract algebra, and modern geometry.

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I adapted methods from mathematical tools called Fourier series and complex analysis to create complex-valued wave functions that have a given, selected symmetry.

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The epicycles represented nothing more nor less than the first terms in the Fourier series, which in the last century has become a basis of such calculations, both in astronomy and physics generally.

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