Hello. I have tried to search all day for the answer to my question but could not find anything.(adsbygoogle = window.adsbygoogle || []).push({});

Is there a way to generalize the curl of a vector field to dimensions greater than three? It seems pretty straightforward to find the gradient and divergence of higher dimensional vector fields, but my calculus book only offers the definition: curl F := ∇×F, which appears to only work if F has three components. Or am getting something wrong?

I am also only in my first real analysis course, so I have not come across this kind of topic in that class yet.

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# Generalizing: Curl of a Function

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