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Maxwell's equations revisited -- mental imagery and mathematical symbols
Using Maxwell's mental imagery of a tube of fluid motion of an imaginary
fluid, we derive his equations , , , , which together with
the constituting relations , , form what we call today Maxwell's equations. Main tools
are the divergence, curl and gradient integration theorems and a version of
Poincare's lemma formulated in vector calculus notation. Remarks on the history
of the development of electrodynamic theory, quotations and references to
original and secondary literature complement the paper