Viewing topic: Stoke's Theorem

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Stoke's Theorem

  • Definition: Let S be an oriented piecewise-smooth surface that is bounded by a simple, closed, piecewise-smooth boundary curve C with positive orientation. Let F be a vector field whose components have continuous partial derivatives on an open region in R^3 that contains S. Then int_C F*dr = int int_S curl F*dS.

    Source: Multivariable Calculus, 7th edition by James Stewart

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