The fundamental theorem of calculus is basically the divergence theorem but dealing with a ball in R^1 instead of a ball in R^3. The fundamental theorem of Calculus relates the stuff inside the ball to its boundary, just like how the divergence theorem relates the stuff inside a volume with its surface. I was just wondering if there is such a thing as a divergence theorem which relates the stuff inside a hyper volume (a volume in R^4) to a volume--its boundary (a volume in R^3)--and so on for higher R^n. Is there such a theorem and if so, what is it called?(adsbygoogle = window.adsbygoogle || []).push({});

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

Dismiss Notice

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!

# Divergence theorem for R^n

Loading...

Similar Threads - Divergence theorem | Date |
---|---|

I Divergence theorem and closed surfaces | May 27, 2016 |

Gradient version of divergence theorem? | Aug 10, 2015 |

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

Simple divergence theorem questions | Oct 6, 2014 |

Divergence theorem for a non-closed surface? | Sep 18, 2014 |

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