Stoke's Theorem
StokesTheorem
2006-07-25 23:44:24
2006-07-25 23:44:24
Theorem
Stokes' pro Stoke's
\oint
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{\bf Stoke's 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.
\begin{equation}
\int \int_S \nabla \times {\bf W} \cdot d {\bf a} = \int_O {\bf W} \cdot d {\bf r}
\end{equation}
On account of its great importance in all branches of mathematical physics a number of different proofs will be given.
\subsection{Proof I.}
soon to come...