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foges
Jul19-09, 10:56 AM
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)
v \in [0,2\pi], u \in [0,radius]
J = r

foges
Jul22-09, 04:52 AM
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: (\frac{x^2}{a^2}) + (\frac{y^2}{b^2}) + (\frac{z^2}{c^2}) = 1

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