Divergence theorem

The Divergence Theorem, also known as Gauss's Theorem, connects the flow of a vector field through a closed surface to the behavior of the field inside that surface. In simpler terms, it states that the total "outflow" of a vector field (like fluid or force) across a boundary is equal to the sum of the sources and sinks of that field inside the enclosed volume. This principle is important in fields like physics and engineering, as it helps in understanding concepts such as electromagnetic fields and fluid dynamics by simplifying complex calculations.