Let there be light
Sometimes, a set of equations can take your breath away. Maxwell’s equations are a case in point. They represent one of the crowning achievements in physics and are prized not just for their power but also their beauty, symmetry and elegance.
Their symmetry, in particular, has influenced generations of physicists to the extent that many developments in fundamental physics are built on the notion of symmetry.
The equations show respectively: how electric charges produce electric fields; that magnetic monopoles cannot exist; how moving charges produce magnetic fields and how changing magnetic fields produce electric fields.
These equations have a solution that takes the form of a wave. The wave in question turns out to be light.
A discussion of Maxwell's equations is at: