I think we must know what surface is.
Out of curiosity, your " " shouldn't be instead of ?
This question is born from a question relating to Stokes' theorem, where I'm evaluating the surface integral.
The area I'm confused with is where I need to transform the follwing into speherical polar coordinates:
where
how would I transform the above integral into one wrt ?
The surface is the hemisphere and the boundary curve is the intersection of the hemisphere with the planeI think we must know what surface S is.
Out of curiosity, your " " shouldn't be dA instead of dS?
I've looked on Wikipedia, Jacobian matrix and determinant - Wikipedia, the free encyclopedia, but how would I go from the Jacobian to ??Use Jacobian matrix.
I'm trying to understand how to convert the integral from the surface integral to one which can be evaluated using spherical polar's.[incidentally I know the answer is but cant figure out how to get to it!]
On this page,http://en.wikipedia.org/wiki/Spheric...rdinate_system shows integration of sherical coordinates,namely the surface element:
I'm hoping someone can explain how to come to this...?