Difference between revisions of "Surface integral"

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-A '''surface integral''' is the summation of the values taken by a function, typically a [[vector]], over every point in the region of a surface.  If the surface integral is of a vector function, then it typically entails a [[dot product]] of the vector function with the vector normal (perpendicular) to the surface.
-The most common use of a surface integral is to express the flux of a vector field ''F'' (such as a electric force) over a particular surface ''S''.
-There are three common techniques for solving surface integrals:
-*projecting the surface onto a coordinate plane, and then performing a double integral over the coordinates for that plane.
-*applying [[Stokes' Theorem]]
-*applying the [[Divergence Theorem]]
-[[Category:vector analysis]]
-[[Category:calculus]]
-[[Category:mathematics]]

Revision as of 22:23, June 28, 2010