Question

state the Green's theorem, gauss divergence theorem and stoke's theorem

Answer 1

In mathematics, Green's theorem gives the relationship between a line integral around a simple closed curve C and a double integralover the plane region D bounded by C. It is named after George Green, though its first proof is due to Bernhard Riemann[1] and is the two-dimensional special case of the more general Kelvin–Stokes theorem.
In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surfacea plane region D to a line integral around its plane boundary curve. ▪Stokes' Theorem relates a surface integral over. a surface S to a line integral around the boundary curve of S (a space curve).

Answer 2

greens theorem:In mathematics, Green's theorem gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C
Gauss divergence theorem:In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.
strokes theorem:Stokes theorem relates the surface integral of the curl of a vector field F over a surface in Euclidean three-space to the lineintegral of the vector field over its boundary

Hope it will help you.