# Green's, Stokes', and the divergence theorems

Lessons

Formal definitions of div and curl (optional reading)Green's theorem (videos)Green's theorem (articles)2D divergence theoremStokes' theorem (videos)Stokes' theorem (articles)3D divergence theorem (videos)Divergence theorem (articles)Proof of Stokes' theoremTypes of regions in three dimensionsDivergence theorem proofLearn

About this unit

Here we cover four different ways to extend the fundamental theorem of calculus to multiple dimensions. Green's theorem and the 2D divergence theorem do this for two dimensions, then we crank it up to three dimensions with Stokes' theorem and the (3D) divergence theorem.