# Definition The divergence of a vectorial function $F\in\mathbb{R}^3$ is defined as $ \text{div}\, F(x) = \lim_{V\rightarrow 0}\frac{1}{|V|}\int_{\Gamma}F\cdot n\, d\Gamma. $ Here $V$ is the volume of a bounded domain with boundary $\Gamma$ and exterior normal $n$. The limit is taken as the volume $V$ goes to zero. # Cartesian Coordinates In cartesian coordinates we have that $ \text{div}\, F = \nabla\cdot F $ # Related Items [[Divergence Theorem]] [[Curl]]