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Visualisation of the first 4 terms of the Fourier series of a square wave

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In mathematics, a Fourier series (English pronunciation: /ˈfɔərieɪ/) is a way to represent a wave-like function as a combination of simple sine waves. More formally, it decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions, namely sines and cosines (or complex exponentials)

http://en.wikipedia.org/wiki/Fourier_serieshttp://en.wikipedia.org/wiki/File:Fourier_series_square_wave_circles_animation.gif

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