dopey9

05-09-2007, 03:14 PM

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???

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dopey9

05-09-2007, 03:14 PM

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

05-09-2007, 03:25 PM

I have no idea what all that means.

Can you please explain?

Can you please explain?

JakeD

05-10-2007, 12:18 AM

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)?

Are you looking for the general Stokes' Theorem (http://en.wikipedia.org/wiki/Stokes%27_theorem)?

dopey9

05-10-2007, 10:23 PM

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

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

05-11-2007, 03:25 AM

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.

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.

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