In mathematics, a surface integral is a definite integral taken over a surface. 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 scalars as values), and vector fields (that is, functions which return vectors as values).
Surface integrals have applications in physics, particularly with the classical theory of electromagnetism.
Read more about Surface Integral: Surface Integrals of Scalar Fields, Surface Integrals of Vector Fields, Surface Integrals of Differential 2-forms, Theorems Involving Surface Integrals, Advanced Issues
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