The Fourier Series-An Example
Once you know the basic Fourier series & the Euler’s formula, you may find the Fourier series of a function…
Lets say we have a function,
on the interval…
We have here a simple saw tooth function which we’ve made periodic with a period 2pi. The function would look something like so…
To start with, we have the interval correpsonding to c to c+2pi which gives c=-pi.
Hence, the values of the coefficients would now be given by…
Hence, on integration we obtain…
This would generate the following Fourier series for our function f(x)…
The procedure to find a Fourier Series cuts down to only a few steps if the function is odd or even. We would look particular cases to find Fourier Series for Odd/Even Functions.
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