Maxwell's equations seem to be universally and consistently held up as exemplars of mathematical beauty in physical law. Expressed in modern notation as differential equations, they are as shown in the first attached image.
Even someone unaware of the physical interpretation of the symbols can see clear symmetries in the equations.
Henri Poincaré (1854–1912) thought James Clerk Maxwell (1831–79) was able to reformulate electromagnetic theory in part due to seeing how the equations would become more symmetrical:
‘It was because Maxwell was profoundly steeped in the sense of mathematical symmetry; would he have been so, if others before him had not studied this symmetry for its own beauty?’
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