This is from Jackson, "Electrodynamics"(adsbygoogle = window.adsbygoogle || []).push({});

a field is a fuction mapping

phi: M -> T, x -> phi(x) from a base manifold M into a target manifold T.

field X: R3 * R1 -> R3

x(r,t) ->X(x)

I think this is eucledian R4 to R3 so I wonder why Jackson explained this with the concept of manifolds?

Is it necessary?

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# I Electric Field and manifolds

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