Gauss’ divergence theorem

This video segment uses animation to demonstrate the mathematical definitions of Gauss's divergence theorem and divergence. It begins by showing a sphere in 3D space, a vector field, and normal vectors. Then it presents the integral form of Gauss's formula and explains the concept of flux per unit volume. Finally, by shrinking the sphere to point M through a limit process, it introduces the rigorous mathematical definition and physical meaning of the divergence of a vector field at a specific point.

Before you watch

• Multivariable Calculus Basics
• Solid Analytic Geometry
• Concept of Surface Integrals