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Looking for a good webpage with different coordinate systesms

  1. Jul 19, 2009 #1
    Anyone have a good link to a site explaining the different coordinate systems and the jacobian determinant for each of them. Thanks

    EDIT: I actually just need a website wiht a list of the different transformations ie.
    polar:
    x = u*cos(v)
    y = u*sin(v)
    [tex] v \in [0,2\pi], u \in [0,radius] [/tex]
    J = r
     
    Last edited: Jul 19, 2009
  2. jcsd
  3. Jul 22, 2009 #2
    Seems like no one has a link. Could someone maybe explain to me how i would best go about integrating the volume of a elipsoid then...
    Elipsoid: [tex](\frac{x^2}{a^2}) + (\frac{y^2}{b^2}) + (\frac{z^2}{c^2}) = 1[/tex]

    I'd go about it with spherical coordinates and the jacobian determinant [tex]r^2\sin(\theta)[/tex], but the integral you end up with isnt exactly prety. Are there any elipsoidal coordinates that are better suited?
     
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