Thread: Why isn't Stokes Theorem taught as follows?

Stokes Theorem: .

Isn't this the more natural way of writing it? It's also easier to remember. From this one statement, we can get Green's Theorem, the Fundamental Theorem of Calculus, etc..

Because then you need to learn what differencial forms are. And that is graduate level math.

That's not graduate level math. See Advanced Calculus: A differential forms approach by edwards. Or Spivak's calculus of manifolds.

Originally Posted by shilz222

That's not graduate level math. See Advanced Calculus: A differential forms approach by edwards. Or Spivak's calculus of manifolds.

I do not imagine that is taught in any undergraduate analysis course eventhough it might be in the book.