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({});

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# Divergence theorem for R^n

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