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.

---

Etymology

Origin of surface integral

First recorded in 1870–75

---

Example Sentences

See Examples For:

surface integral

We can extend the concept of a line integral to a surface integral to allow us to perform this integration.

From Textbooks ● Mar. 30, 2016

To use Equation 6.19 to calculate the surface integral, we first find vector tu and tv.

From Textbooks ● Mar. 30, 2016

Figure 6.72 Calculating a surface integral over surface S.

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

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 Andrew Gray

Random Word

Spin the wheel and learn a new word!

---