Solving Fourier Series: A Simple Guide

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What is the best and simplest way to solve Fourier series problems?
 
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It might help if you told us what you meant by "Fourier series problems"!

Find the Fourier series corresponding to a given periodic function?

Find the periodic function corresponding to a given Fourier series?

Use Fourier series to solve a given differential equation problem?

Find the "frequency space" form for a given time series?

The list could go on and on!
 
yeah give us a specific problem. there are so many different kinds i don't know where to start.
 

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