Fourier series Definition and 706 Threads

I have to find the Fourier series for the function f(x) = sin(4x), but no matter what I find _all_ the Fourier coefficients to be zero; i.e. (2\pi)^{-1}\int_{-\pi}^{\pi}sin(4x)e^{-inx}dx = 0 for all n. I can't see the point in finding the Fourier series for sin(4x) anyway, since the...

I have a quantum physics 2nd year undergraduate exam in a few weeks, I'm a complete beginner to Fourier series, can anyone help explain how to answer this question please? Thanks, rob. The question is http://mobilecrazy.net/fourier.jpg

I wondered if someone could help me to find the Fourier series for this function please. I believe it's an odd function. f(x) = 2x+e^x-e^-x (-1< x > 1) This is my first post, so I'm going to try this LayTex typing too! Here goes! f(x)=2x+e^x-e^-^x (-1< x >1) Thanks

I am having trouble finding the An and Bn coefficients for the Fourier series f(t) = sin (pi*t) from 0<t<1, period 1 Please help! Thank you!

We've been looking at the Forurier series in our lectures which has been fine and it's okay for heat transfer, but we covered the wave eqt today and I've been left baffled. Using the boundary conditions of he diaplacement at each end of the string to be 0, we got the general eqt y(x,t) =...

The Fourier Series! Hi guys, I'm having a bit a trouble helping my daughter with this question on the Fourier series approximation: The Fourier series for a real, odd function, f(t) can be written as: f(t) = [SUM to infinity, n=1, of]: b[subscipt n] sin(nwt) where f(t=T)=f(t) and...