This paper gives a brief presentation of EM theory that is otherwise persented as the well-elaborated electrodynamics of moving bodies. Beside the standard apparatus-differential equations, a formal algebraic apparatus-complementary in the sense and application-is developed. The field transformations, completed by this development, simultaneously treat transverse and longitudinal directions. The relativistic kinematics and opinions, formerly based on the incomplete transformations, are thus oversomc.
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