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

[sceadu]

I came across these a little while ago:

Fourier Transform Video Lectures (http://www.youtube.com/watch?v=gZNm7L96pfY&fmt=18)

(I know that Fourier series and the transform itself aren't the same thing, but I thought you might still like the videos)

[matonski]

I came across these a little while ago:

Fourier Transform Video Lectures (http://www.youtube.com/watch?v=gZNm7L96pfY&fmt=18)

(I know that Fourier series and the transform itself aren't the same thing, but I thought you might still like the videos)

I watched the whole 30 lecture series and they are very very good. I got so much out of it. Topics covered are Fourier Series, Fourier Transforms, convolutions, how they apply to linear systems in general, sampling, discrete Fourier Transforms, and higher dimensional Fourier Transforms. He also goes into good depth into how distributions like the Dirac Delta function are rigorously defined by Mathematicians. He's a great teacher and explains everything in such a way that it all seems natural. He's also quite funny too. You can download the whole course from iTunes U as well.

[fourier jr]

(I know that Fourier series and the transform itself aren't the same thing, but I thought you might still like the videos)

a fourier transform is like a fourier series of a periodic function where the period is infinite :smile:

[Edgardo]

A blog post on Understanding the Fourier Transform intuitively (http://learntofish.wordpress.com/2009/08/28/understanding-the-fourier-transform-intuitively/).