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**purpose of each of the "operators", divergence, gradient and curl?**

Hi.

Can anybody give me a reasonably simple explanation of what the purpose of each of the "operators", divergence, gradient and curl? (I've been looking but I never found something simple to understand)

I know how to evaluate them mathematically, but I really don't know what they mean or what I accomplish...

Can anybody shed some light on the matter?

Also, how can they be applied to E&M?

Thanks loads.