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Stokes' theorem (Theorem)

Stokes' theorem:  The surface integral of the curl of a vector function is equal to the line integral of that vector function taken around the closed curve bounding that surface.

$\displaystyle \int \int_S \nabla \times {\bf W} \cdot d {\bf a} = \oint_O {\bf W} \cdot d {\bf r}$ (1)

On account of its great importance in all branches of mathematical physics, a number of different proofs of this theorem will be given.

Proof I.

soon to come...



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"Stokes' theorem" is owned by bloftin. [ full author list (3) ]
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Cross-references: theorem, mathematical physics, vector function, curl
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This is version 3 of Stokes' theorem, born on 2006-07-25, modified 2007-06-29.
Object id is 213, canonical name is StokesTheorem.
Accessed 3569 times total.

Classification:
Physics Classification: 02.30.-f (Function theory, analysis)
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