Deriving Maxwell's Equations from First Principles of Relativistic Charge Invariance and Space-Time Relations

The paper introduces a simple, rigorous approach to derive Maxwell's equations from first principles, based on an invariant form of the Gauss' law using only basic space-time transformation relations of special relativity. More advanced concepts of relativistic mechanics, such as transformation of mass, momentum and force, are not necessary in this development, resulting in a simple theory. The new derivation is of fundamental theoretical significance in electromagnetic theory, making Maxwell's equations less mysterious to comprehend, and would fill an educational need to introduce the modern theory of special relativity to derive electromagnetic theory from the first principles. The approach would be suitable for a senior (even junior) undergraduate or an introductory graduate engineering student, depending on the level of depth and rigor.