What does local form mean in Gauss' law for magnetism?

[catmunch]

I'm stumped on a problem about Gauss' Law for Magnetism because I don't know what "local form" is. From context, I suspect that local form refers to the expression of an equation with the del operator (i.e. del x E = (charge density/(E0)), but I'm not sure. I've been self-teaching with Tipler and some online resources, but I can't find a definition of local form anywhere.

Thanks in advance.

 

[tiny-tim]

hi catmunch!

… From context, I suspect that local form refers to the expression of an equation with the del operator (i.e. del x E = (charge density/(E0)), but I'm not sure.

yup … for all of Maxwell's equations there's integral form, over a whole region or surface, and local form, at a point