I'm having some trouble understanding what divergence of a vector field is in my "Fields and Waves" course. Divergence is defined as [itex]divE=∇E = (∂Ex/∂x) + (∂Ey/∂y) + (∂Ez/∂z)[/itex]. As far as I understand this gives the strength of vector E at the point(x,y,z). Divergence theorem is defined as [itex]∫∇Eds[/itex], where ds represents the area or volume of the vector field. In other words, I understand it as the overall strength of the vector field at a group of points composing a volume defined by the integral. Could someone verify this for me?