Difference between Stokes' Theorem and Divergence Theorem
May 30, 2017 · Long story short, Stokes' Theorem evaluates the flux going through a single surface, while the Divergence Theorem evaluates the flux going in and out of a solid through …
multivariable calculus - Gauss's Theorem vs. Stokes's Theorem ...
What's the difference between Gauss' Theorem and Stokes' Theorem? Does Gauss's Theorem take an integral over an "inner product" derivative while Stokes's Theorem takes an integral …
Stokes' Theorem with a sphere - Mathematics Stack Exchange
Jun 20, 2016 · Since the prompt asks how to calculate the integral using Stokes' Theorem, you can find a good parametrization of the boundary $\partial S$ and calculate the "easier" integral …
How are Green's Theorem, Stokes' Theorem, etc all connected …
Aug 22, 2021 · 2D divergence theorem Stokes' theorem 3D Divergence theorem Now I know: Green's theorem is a 2D special case of Stokes' theorem, or said in another way Stokes' …
How does Green's theorem and Stokes' theorem generalize the …
Dec 2, 2022 · I implore you to use the definitions I've given here to show how your equation (Green's theorem) is just the equation for Stokes' theorem with 2-forms in 2D. This also …
Verifying Stokes' Theorem - Mathematics Stack Exchange
But to use Stokes' theorem, we must apply one. All we need here is to check whether the orientation we chose for the line integral is the same as that for the surface integral -- use the …
When integrating how do I choose wisely between Green's, …
I've been taught Green's Theorem, Stokes' Theorem and the Divergence Theorem, but I don't understand them very well. In particular I don't understand in what circumstances I would …
Stokes's theorem outer unit normal for a hemisphere
Nov 7, 2015 · Stokes theorem is basically relating the flux through a surface with a closed path around the surface. Intuitively it says that a vector field, the total flux of the surface or flow …
multivariable calculus - How would you discover Stokes's theorem ...
Dec 4, 2021 · Stokes' Theorem arises in need to understand flow of a vector field along a surface. I explore several of its aspects, intuitively, with visuals and links to interactives, here.
Newest 'stokes-theorem' Questions - Mathematics Stack Exchange
Dec 24, 2025 · For questions about Stokes' theorem. Stokes' theorem asserts that the integral of a differential form over the boundary of some orientable manifold M is equal to the integral of …