  A detailed study is made of the space-time transformation properties of
intercharge forces and the associated electric and magnetic force fields, both
in classical electrodynamics and in a recently developed relativistic classical
electrodynamical theory. Important differences are found and serious errors are
found in the traditional treatment of special-relativistic effects in classical
electromagnetism. Fields associated with radiation processes are also
considered and classical and quantum mechanical predictions are compared. An
important, though trivial, mathematical error in the derivation of the retarded
Li\'{e}nard-Wiechert retarded potentials is pointed out. It is also shown why
electric and magnetic fields produced by moving source charges or current
distributions are not `classical fields', and that they do not, in general,
constitute an antisymmetic second-rank tensor, as is usually assumed.
