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Fourier Theory (Metric)

Learn, or revise, Fourier series and sine and cosine half-range series.

Fourier Series

Euler formulae, Fourier series for periodic functions, half-range series for even and odd periodic functions. A university level topic.

Expressing periodic functions in the form \(a_0 + a_1\, \cos (\pi x/L) + a_2\,\cos(2\pi x/L)+\dots+b_1\,\sin(\pi x/L) + b_2\,\sin(2\pi x/L)+\dots\). Half-range series for odd and even functions.