divergence theorem

[dopey9]

in the divergence theorm you have div F, but i wanted to know how to show this is exactly the same as the divergence theorem but not with div f but with curl F instead???

[pka]

I have no idea what all that means.
Can you please explain?

[JakeD]

in the divergence theorm you have div F, but i wanted to know how to show this is exactly the same as the divergence theorem but not with div f but with curl F instead???
Are you looking for the general Stokes' Theorem (http://en.wikipedia.org/wiki/Stokes%27_theorem)?

[dopey9]

in the divergence theorm you have div F, but i wanted to know how to show this is exactly the same as the divergence theorem but not with div f but with curl F instead???
Are you looking for the general Stokes' Theorem (http://en.wikipedia.org/wiki/Stokes%27_theorem)?

no i want to know how to show the curl theorem using the divergence theorem

[JakeD]

in the divergence theorm you have div F, but i wanted to know how to show this is exactly the same as the divergence theorem but not with div f but with curl F instead???
Are you looking for the general Stokes' Theorem (http://en.wikipedia.org/wiki/Stokes%27_theorem)?

no i want to know how to show the curl theorem using the divergence theorem
Please correct me if I am wrong, but my understanding is that the curl theorem (Kelvin-Stokes theorem)

http://upload.wikimedia.org/math/1/f/d/1fdf437d8e18a23191b63df96ae36916.png

and the divergence theorem

http://upload.wikimedia.org/math/f/b/6/fb6cbe67ee035c366e49384a1a0fc4d8.png

are special cases of the general Stokes' Theorem (http://en.wikipedia.org/wiki/Stokes%27_theorem)

http://upload.wikimedia.org/math/9/8/d/98da50d6b2b3b0abc3de5994d98c5562.png

So they can be proved by specializing the same general technique. But the curl theorem does not follow from divergence theorem.