Green's theorem

American  

noun

Mathematics.

1. one of several theorems that connect an integral in n -dimensional space with one in (n − 1)-dimensional space.

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Etymology

Origin of Green's theorem

After George Green (1793–1841), English mathematician, who formulated it

Example Sentences

See Examples For:

Green's theorem

In the next example, the double integral is more difficult to calculate than the line integral, so we use Green’s theorem to translate a double integral into a line integral.

From Textbooks ● Mar. 30, 2016

We could evaluate this integral using tools we have learned, but Green’s theorem makes the calculation much more simple.

From Textbooks ● Mar. 30, 2016

Notice that Green’s theorem can be used only for a two-dimensional vector field F. If F is a three-dimensional field, then Green’s theorem does not apply.

From Textbooks ● Mar. 30, 2016

Green’s theorem takes this idea and extends it to calculating double integrals.

From Textbooks ● Mar. 30, 2016

It has been said in jest, but not without truth, that physical mathematics is made up of continued applications of Green's theorem.

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