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Classical Electromagnetism — Mathematics

20 pages

The mathematical prerequisites and supporting suppliers for the classical electromagnetism collection: elementary vector, derivative and measure conventions; the Fourier, Sobolev, elliptic and spectral machinery used by the field equations; contour and causal-dispersion analysis; the wave-kernel and retarded-potential estimates; the variational and boundary-form prerequisites of the electromagnetic action and its interface problems; and the deterministic bounded-error comparison used to read confined parameter statements from calibrated indicator data. Items here are mathematics: they carry domain: mathematics, depend only on mathematical suppliers, and are excluded from physical conclusions. Their physical consumers are the classical electromagnetism and special relativity pages, which use them as stated mathematical premises under the physics schema's dependency roles. No physical postulate, observation or empirical claim is asserted on this page, and the statistical qualifications of any physical use remain with the consuming physical item.