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Vector Calculus Question

  1. Feb 26, 2008 #1
    If you start with the two dimensional green's theorem, and you want to extend this three dimensions.

    F=<P,Q>
    Closed line integral = Surface Integral of the partials (dP/dx + dQ/dy) da
    seems to leads the divergence theorem,
    When the space is extended to three dimensions.

    On the other hand:
    Closed line integral = Surface Integral of the partials (dQ/dx - dP/dy) da
    seems to lead to Stokes theorem when the space is extended to three dimensions.

    Would it be correct to view these two vector calculus theorems this way.
    Start with the two dimensional Green's theorem and go either way to get the Divergence
    or Stokes theorem.
     
  2. jcsd
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