Gauss’s theorem, also known as the divergence theorem, is a fundamental result in vector calculus relating the flux of a vector field through a closed surface to the divergence of the vector field within the enclosed volume. This theorem establishes a link between surface integrals and volume integrals.
In simpler terms, Gauss’s theorem states that the total flux of a vector field through a closed surface is equal to the volume integral of the divergence of that vector field over the region enclosed by the surface.
This theorem finds widespread application in physics and engineering, particularly in fluid dynamics, electromagnetism, and heat transfer. It provides a powerful mathematical tool for analyzing and solving problems involving the flow of vector fields through surfaces and volumes.
