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The 90 pages that link to Maxwell's equations, each with the reason it gives.

• Electromagnetic spectrumRelated: They predict electromagnetic waves and their propagation through vacuum.

• Special relativityRelated: Their prediction of electromagnetic waves at a fixed speed conflicted with Galilean velocity addition.

• Electromagnetic radiationRelated: Their wave solutions show that changing electric and magnetic fields can propagate through space.

• Plasma physicsRelated: They supply the field laws coupled to plasma particles and currents.

• Green's functionRelated: Electromagnetic Green's functions calculate fields from specified currents and charges.

• Wave equationRelated: In vacuum, Maxwell's equations imply wave equations for electromagnetic fields.

• Lorentz transformationRelated: Their light-speed prediction prompted the search for transformations compatible with electromagnetism.

• Differential formRelated: Differential forms express the equations compactly and independently of coordinates.

• DivergenceRelated: Their divergence equations relate fields to electric charge and magnetic monopole density.

• Electromagnetic fieldRelated: Their synthesis turned the field into a unified predictive theory.

• Magnetic monopoleRelated: A magnetic charge would add source terms to the equations for magnetic fields.

• Newton's third lawRelated: Their field-based account exposed limits of treating forces as instantaneously paired between bodies.

• CurlRelated: Their curl equations relate changing fields to induced circulation.

• Radio waveRelated: They predict electromagnetic waves and govern their interaction with charges and currents.

• André-Marie AmpèreRelated: These equations incorporated and extended Ampère’s account of current and magnetic fields.

• Electromagnetic interactionRelated: They unify classical electricity, magnetism, and electromagnetic waves.

• Wave theory of lightRelated: They show that electromagnetic disturbances can propagate as light.

• MagnetismRelated: They relate magnetic fields to currents, changing electric fields, and induction.

• Vector calculusRelated: Their differential forms use divergence and curl to state electromagnetic laws locally.

• Oliver HeavisideRelated: Heaviside reduced Maxwell’s original formulation to the compact vector equations now widely used.

• Exterior derivativeRelated: Differential forms express the equations compactly using the exterior derivative and spacetime geometry.

• Hyperbolic partial differential equationRelated: In suitable formulations, electromagnetic fields obey hyperbolic evolution equations.

• Wave opticsRelated: They provide the classical electromagnetic foundation for light’s wave behavior.

• ElectrodynamicsRelated: They provide the central field laws of classical electrodynamics.

• Electromagnetic field tensorRelated: Two tensor equations combine the four classical Maxwell equations into relativistic form.

• Generalized Stokes theoremRelated: Differential forms express the equations compactly, while Stokes relates local laws to integral laws.

• Wigner classificationRelated: Quantized electromagnetic waves correspond to massless helicity-one states.

• Coherent system of unitsRelated: Their written constants vary with the chosen electromagnetic unit system.

• Kaluza–Klein theoryRelated: Recovering these equations from higher-dimensional gravity was the theory's central aim.

• Lorentz covarianceRelated: Their Lorentz-covariant formulation unifies electric and magnetic fields across inertial frames.

• Einstein notationRelated: Tensor notation compresses their relativistic formulation into indexed equations.

• Aether theoriesRelated: Their wave solutions made electromagnetic waves central to later aether debates.

• Electromagnetic four-potentialRelated: In terms of the four-potential, the equations reduce to wave equations after gauge fixing.

• Multivariable calculusRelated: Their differential and integral forms use multivariable calculus.

• Helmholtz decompositionRelated: Their divergence and curl laws expose the structures separated by the decomposition.

• History of special relativityRelated: Their fixed prediction for light’s speed clashed with classical rules for adding velocities.

• Poynting's theoremRelated: Their differential form yields the theorem’s local energy balance.

• Classical unified field theoriesRelated: They provided the electromagnetic theory that unification proposals sought to incorporate.

• Heaviside–Lorentz unitsRelated: In these units, the equations contain no explicit 4π factors in their source terms.

• K. Ferdinand BraunRelated: Their prediction of electromagnetic waves underpinned the physics of wireless telegraphy.

• Magnetohydrodynamic techniquesRelated: They describe the field and current dynamics coupled to conducting-fluid motion.