Fourier series: a complicated waveform analyzed into a number of harmonically related sine and cosine functions

**Fourier series analysis:**

Fourier series:
a complicated waveform
analyzed into a
number of harmonically related sine and cosine
functions

A two
parts tutorial on Fourier series. In the first part an example is used to show
how Fourier coefficients are calculated and in a second part you may use an
applet to further explore Fouries series of the same function.

Fourier
series may be used to represent periodic functions as a linear combination of
sine and cosine functions. If f(t) is a periodic function of period T, then
under certain conditions, its Fourier series is given by:

where n =
1 , 2 , 3 , ... and T is the period of function f(t). an and bn are called
Fourier coefficients and are given by

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