surface integral

American  

noun

Mathematics.

1. the limit, as the norm of the partition of a given surface into sections of area approaches zero, of the sum of the product of the areas times the value of a given function of three variables at some point on each section.

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Etymology

Origin of surface integral

First recorded in 1870–75

Example Sentences

See Examples For:

surface integral

Then the unit normal vector is k and surface integral ∬ curl F · dS is actually the double integral ∬ curl F · kdA.

From Textbooks ● Mar. 30, 2016

The integrand of a surface integral can be a scalar function or a vector field.

From Textbooks ● Mar. 30, 2016

A surface integral is like a line integral in one higher dimension.

From Textbooks ● Mar. 30, 2016

Evaluate a surface integral over a more convenient surface to find the value of A.

From Textbooks ● Mar. 30, 2016

It is now well known as Stokes's theorem connecting a certain surface integral with a line integral, and has many applications both in physics and in geometry.

From Lord Kelvin An account of his scientific life and work by Gray, Andrew