Question

Stokes theorem connects line integral and volume integral

Answer 1

The classical Kelvin–Stokes theorem relates the surface integral of the curl of a vector field over a surface Σ in Euclidean three-space to the line integral of the vector field over its boundary, is a special case of the general Stokes theorem (with n = 2) once we identify a vector field with a 1-form using the metric .

Answer 2

Explanation:

Answer:

Gauss' divergence theorem relates the volume integral of the divergence of a vector field E to the integral of the vector E dotted into the surface normal and evaluated over the surface bounding the volume v