Fourier Series tutorials?

[cgw]

Looking for fourier series tutorials or even better video lectures on the subject.

[malawi_glenn]

http://www.teach.ustc.edu.cn/net_learn/netbooks/mpa/Lecture/ma19np.htm

http://www.ecst.csuchico.edu/~amk/foo/grads/java/loyd/

http://www.cage.curtin.edu.au/mechanical/info/vibrations/tut1.htm

http://www.analyzemath.com/calculus/series/fourier_series_1.html

[matticus]

these video lectures are pretty good, this is the first one but there's tons.

http://youtube.com/watch?v=WScEpfGYQhY

[naele]

In that vein, can anybody put together a few links to help learn/understand the math behind the fourier series? Just from eyeballing I'd guess a solid understanding of integration of trigonometric functions, but I'm sure there's more to it.

[benabean]

these video lectures are pretty good, this is the first one but there's tons.

http://youtube.com/watch?v=WScEpfGYQhY

This guy needs some valium!
Glad I don't have lectures with him at 9 on monday mornings :smile:

good lecturer though.

[armis]

By far the only one I saw but I REALLY liked it

http://ocw.mit.edu/OcwWeb/Physics/8-03Fall-2004/VideoLectures/index.htm

11th lecture

The explanation is great. He shows the contribution of every single sin and cos and then shows some vibrations with a computer program which show all the harmonics which contribute to building the periodic function.

[Defennder]

Check out this website:
http://www.sosmath.com/fourier/fourier1/fourier1.html

It covers lots of other math topics and has practice questions with answers.

[PhysicsDruid]

In that vein, can anybody put together a few links to help learn/understand the math behind the fourier series? Just from eyeballing I'd guess a solid understanding of integration of trigonometric functions, but I'm sure there's more to it.

Naele~

Fourier Series is a *special case* of a more general concept. Perhaps some key words you could look up online or in textbooks would be : orthogonality, basis states, fast fourier transform (FFT), orthonormal basis, maybe even Hilbert Space, or Gram Schmidt, or Legendre polynomials, or Sturm-Liouville.

[rakesh_kpn]

You may try the following link..
http://www.freebookcentre.net/Mathematics/Fourier-Analysis-Books.html