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.

Any additional insights you could give would be appreciated.

Bob

**Physics Forums - The Fusion of Science and Community**

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

# Vector Calculus question Div and Stokes Theorem

Loading...

Similar Threads - Vector Calculus question | Date |
---|---|

I Question about vector calculus | Aug 11, 2017 |

Question about conditions for conservative field | May 26, 2015 |

Divergence Theorem Question (Gauss' Law?) | May 4, 2015 |

Vector Calculus Theorems - Duality Question | Aug 14, 2013 |

Vector calculus quick question | Mar 10, 2013 |

**Physics Forums - The Fusion of Science and Community**