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Stokes' theorem

Stokes' theoremLet $S$ be an oriented piecewise-smooth surface bounded by a piecewise-smooth simple closed curve $C=\partial S$ so that the orientation of $S$ is compatible with the orientation of $C$. If $\QTR{bf}{F}$ is a differentiable vector field whose domain includes the surface $S$, thenMATH

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Curl

Divergence theorem

Green's theorem

Historical sketch: George Gabriel Stokes

Copyright © 2006 Darel Hardy, Fred Richman, Carol Walker, Robert Wisner. All rights reserved. Except upon the express prior permission in writing, from the authors, no part of this work may be reproduced, transcribed, stored electronically, or transmitted in any form by any method.

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