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November 6th, 2016, 01:12 AM   #1
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Having a very bad time with Spherical harmonics

Hi, on my quest to understand spherical harmonics I have found this: https://en.wikipedia.org/wiki/Spherical_harmonics

I hardly understand it . Can any of you guide me a way?
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November 6th, 2016, 02:02 AM   #2
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Originally Posted by myPrecious View Post
Hi, on my quest to understand spherical harmonics I have found this: https://en.wikipedia.org/wiki/Spherical_harmonics

I hardly understand it . Can any of you guide me a way?
Unfortunately Wikipedia isn't going to help much. The topic is large enough that you'll get an overview, but not much more than that.

I'd recommend this:

1) If you haven't already studied orthogonal expansions do so. Spherical Harmonics are an orthogonal expansion, usually for spherically symmetric problems. (You can use them even without the symmetry, but that's probably more than you want.)

2) I don't know if you are interested in Math or Physics but I'd recommend a good Math Physics text. (I prefer Arfkin but here's the Barnes and Noble page.) If all you want is the Spherical Harmonics you shouldn't have to pay the hundred or so dollars to get a good one. The Physics approach won't give you the full theory, though it won't be too bad, but you can always pick up on that as soon as you get a feel for it.

-Dan
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November 6th, 2016, 10:12 PM   #3
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What is "orthogonal expansions"? When I searched a bit about it, references about "furrier" came into the scene. I know very little about "furrier". I think I am not getting the whole picture at all. Can you be a bit more specific for me?

About the books you referred, this is a whole collection in a site. Can you recommend one for me?

Last edited by skipjack; November 9th, 2016 at 01:50 AM.
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November 9th, 2016, 01:51 AM   #4
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Was that "Fourier" rather than "furrier"?
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