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For example, the volume integral of the electric field caused by a charge within an electric sphere equals the surface integral of that same field.
For example, the volume integral of the electric field caused by a charge within an electric sphere equals the surface integral of that same field.
This is also known as the Gauss Theorem, and it is the simplest of the three main integral theorems in advanced or multivariable calculus, the other two being [[Green's Theorem]] and [[Stokes' Theorem]].
This is also known as the Gauss Theorem (1813), and it is the simplest of the three main integral theorems in advanced or multivariable calculus, the other two being [[Green's Theorem]] (1825) and [[Stokes' Theorem]] (1850).
[[Category:vector analysis]]
[[Category:vector analysis]]
[[Category:calculus]]
[[Category:calculus]]
[[Category:mathematics]]
[[Category:mathematics]]