The Divergence Theorem is a fundamental principle in vector calculus that relates the flow of a vector field through a closed surface to the behavior of the field inside the volume bounded by that surface. Specifically, it states that the total outward flux of a vector field across a closed surface is equal to the integral of the divergence of the field over the volume enclosed by the surface. Mathematically, the theorem can be expressed as: ∫∫_S F · n dS = ∫∫∫_V div(F) dV, where F is the vector field, n is the outward normal vector on the surface S, and V is the volume. This theorem is widely used in physics and engineering, particularly in the study of fluid dynamics and electromagnetism.