Albert Einstein, 1905:

http://www.fourmilab.ch/etexts/einstein/specrel/www/ :

"It is known that Maxwell's electrodynamics--as usually understood at
the present time--when applied to moving bodies, leads to asymmetries
which do not appear to be inherent in the phenomena. Take, for example,
the reciprocal electrodynamic action of a magnet and a conductor. The
observable phenomenon here depends only on the relative motion of the
conductor and the magnet, whereas the customary view draws a sharp
distinction between the two cases in which either the one or the other
of these bodies is in motion. For if the magnet is in motion and the
conductor at rest, there arises in the neighbourhood of the magnet an
electric field with a certain definite energy, producing a current at
the places where parts of the conductor are situated. But if the magnet
is stationary and the conductor in motion, no electric field arises in
the neighbourhood of the magnet."

The "customary view" is based on the ether model of Maxwell eventually
abandoned by its author. The respective equation that one finds in
today's literature reflects "the relative motion of the conductor and
the magnet" and is therefore Galilean invariant. No need to introduce
Lorentz transformations if one does not stick to the ether model of
Maxwell.