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| ``Proof of green's theorem''
by logamath on 2007-02-03 02:23:47 |
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| The post by mathcam states that the region "R is described" and states the equality to the double integral. However, the double integral relates the difference of two 'volumes' to the sum of two areas (countour integration). The region R is therefore more accurately described by stating that the equality involves a relationship between areas and volumes. I think this would make Green's theorem more understandable.
Unsoundness of green's theorem: The equality to the double integral is not always true even under the required conditions, i.e. closed curve, continuous partial derivatives. Comments? |
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