What is the point of Fourier Series and what is it used for?

mercredi 30 octobre 2013

I recently had an asignment where i calculated the Fourier series coefficients for



f= 1+t for t= -1 to 0

f= 1-t for t=0-1 basically triangle looking.



And as i summed more and more coefficients my function started looking more like this triangle (which was really cool). My question is, what is the use of this Fourier expansion? Why not just use the original function instead of this fourier expansion which looks so much more complicated?






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