A brief history of Maxwell's equations
IEEE Spectrum has an interesting and detailed article about the long road to Maxwell's equations. It's not a text full of lengthy demonstrations and mathematical jargon (don't worry there are still some formulas), if anything it's a story of physics and mathematics spread across the nineteenth century.
It explains how, from observations made by Faraday and others, Maxwell deduced a set of 20 complex equations describing the electrical and magnetic fields. These equations almost fell into oblivion because of both their complexity and the lack of experimental evidences for the brand new concepts introduced (e.g. electromagnetic waves can propagate without a medium, light is just one of them, etc.). They were only saved thanks to a few passionate scientists, the Maxwellians, notably Heaviside who managed to simplify and sum them up into the well-known 4 equations that we all read once in some introductory engineering or physics textbook.
It explains how, from observations made by Faraday and others, Maxwell deduced a set of 20 complex equations describing the electrical and magnetic fields. These equations almost fell into oblivion because of both their complexity and the lack of experimental evidences for the brand new concepts introduced (e.g. electromagnetic waves can propagate without a medium, light is just one of them, etc.). They were only saved thanks to a few passionate scientists, the Maxwellians, notably Heaviside who managed to simplify and sum them up into the well-known 4 equations that we all read once in some introductory engineering or physics textbook.