If you start with the two dimensional green's theorem, and you want to extend this three dimensions.(adsbygoogle = window.adsbygoogle || []).push({});

F=<P,Q>

Closed line integral = Surface Integral of the partials (dP/dx + dQ/dy) da

seems to leads the divergence theorem,

When the space is extended to three dimensions.

On the other hand:

Closed line integral = Surface Integral of the partials (dQ/dx - dP/dy) da

seems to lead to Stokes theorem when the space is extended to three dimensions.

Would it be correct to view these two vector calculus theorems this way.

Start with the two dimensional Green's theorem and go either way to get the Divergence

or Stokes theorem.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Vector Calculus Question

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**