Just curious: Sussman and Wisdom have written a book called "Structure and Interpretation of Classical Mechanics" following the classic SICP Scheme book. Has anyone attempted a similar approach for electromagnetics?
Maxwell's equations are a classical field theory (no quantization). That means Maxwell's equations are one of the theories of the body called classical mechanics. So if you wanted to, you could write down the Lagrangian (density) or Hamiltonian for various experimental configurations (eg charged particle in a field) and derive Maxwell's equations (there are a couple of papers like this). Nothing stopping you from using SICM's formalism either. Would it be a useful exercise? No clue.
