Difference between revisions of "Surface integral"

Revision as of 19:16, 27 August 2020

Surface integral

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-In mathematics, a surface integral is a definite integral taken over a surface (which may be a curve set in space); it can be thought of as the double integral analog of the line integral. Given a surface, one may integrate over its scalar fields (that is, functions which return numbers as values), and vector fields (that is, functions which return vectors as values).
+Surface integral
-Surface integrals have applications in physics, particularly with the classical theory of electromagnetism. The definition of surface integral relies on splitting the surface into small surface elements:
-<html><img src = "/static/files/Math/800px-Surface_integral_illustration.png" width="400"/></html>
-An illustration of a single surface element. These elements are made infinitesimally small, by the limiting process, so as to approximate the surface:
-<html><img src = "/static/files/Math/429px-Surface_integral.png" width="400"/></html>
 [[Category:math]]
 [[Category:Term]]