This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
 FOURIER SERIES PACKAGE SYMBOL

# NFourierSeries

 gives a numerical approximation to the order n Fourier exponential series expansion of expr, where expr is a periodic function of t with period .
• The numerical approximation to the order n Fourier exponential series expansion of expr is by default defined to be , where is given by NIntegrate[expr - k t, {t, -, }].
• Different choices for the period of expr can be specified using the option FourierParameters.
• With the setting FourierParameters, expr is assumed to have a period of , and the order n Fourier exponential series expansion computed by is , where is given by NIntegrate[expr - b k t, {t, -, }].
Numerical approximation for an exponential Fourier series:
Compare with a plot of the original periodic function:
Needs["FourierSeries`"]
Numerical approximation for an exponential Fourier series:
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Compare with a plot of the original periodic function:
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