# Thread: fourier series

1. ## fourier series

determine the fourier expansion of the specific function whose definitions in an period is f(t)=t , 0<t<1

2. Originally Posted by alderon
determine the fourier expansion of the specific function whose definitions in an period is f(t)=t , 0<t<1
Look at your notes for the definition of Fourier series. It should include an
arbitary interval or an interval [0,T] or [-T,T], then renomalise to the interval [0,1].

See also here.

Do what it says and you will have a family of integrals to evaluate, which can be
done using integration by parts.

If you have any more specific questions then please ask

RonL

3. Originally Posted by alderon
determine the fourier expansion of the specific function whose definitions in an period is f(t)=t , 0<t<1
It depends what you want. Do you want a Fourier Sine or Cosine series?

4. Originally Posted by ThePerfectHacker
It depends what you want. Do you want a Fourier Sine or Cosine series?
Without qualification it means the ordinary Fourier (for period 1) series:

$
f(x)=\frac{a_0}{2}+\sum_{n=1}^{\infty} \left(a_n \cos(2 \pi n x) +b_n\sin(2 \pi n x) \right)
$

RonL