Hello. I have tried to search all day for the answer to my question but could not find anything. 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.