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Ignoring special relativity theory，maxwell equation are deduced in which coordinate system?In most electrodynamics textbook,maxwell equation are deduced without specifying which coordinate we are using.For example,when we are solving poisson equation in static case，it seems we can freely choose the original point,and 3 direction without contradict maxwell equation.It seems when we are deducting maxwell equation ,there are many equivlent coordinate system in which maxwell equation holds.When we are developing special relativity theory,we want to find the coordinate system in which maxwell equation holds,or in which system light have speed c.But it seems weird because we should know this coordinate system for a long time,because it should be the coordinate system in which we observe the electromagnetism phenomenon and deduce maxwell equation.