Fourier Series

Dennis Silverman
Mathematical Physics 212A
Department of Physics and Astronomy
U.C. Irvine

Some of the examples are taken from "Guide to Standard Mathematica Packages", Version 2.2, Wolfram Research.

<< "Calculus`FourierTransform`"

?Fourier*

?FourierTrigSeries

Function expr is taken on interval x0 to x1.

Example:  Fourier Trig Series for function x on interval
0 < x < 1.  Take as periodic.

?Floor

frplt = Plot[x - Floor[x], {x, 0, 3}]

fpx = FourierTrigSeries[x, {x, 0, 1}, 3]

fpxplot = Plot[fpx, {x, 0, 3}]

Show[frplt, fpxplot]

n := 6

FourierCosSeriesCoefficient[Cos[k x], {x, -π, π}, n]

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