What are James clerk maxwell's theories?

Maxwell had number of achievements, but his major Theory and achievement was the Theory that light was a form of electromagnetism. This is one of the greatest theoretical achievements in scientific history. With respect to this achievement Maxwell is best known for "Maxwell's Equations", four equations that describe the behavior of electromagnetism.

Maxwell's Equations rho= Del.D (Guass' Law)

0=DelxE + dB/dt (Faraday's Law)

0=DelxB

DelxH=dD/dt + J (Ampere's Law with dD/dt added by Maxwell)

Actually, Oliver Heaviside is the likely author of "Maxwell's Equations" shown here.

Maxwell's was a student of Faraday and discovered that light was electricity by attempting to represent Faraday's Theory of the electric field mathematically. In doing so he ran across Hamilton's Quaternions and used them to represent his equations.

I think the mathematically proper laws of Electromagnetism the quaternin equation: 0= (d/dcdt + Del)(Er + Ev) = (dEr/cdt - Del.Ev) + (dEv/cdt + DelxEv + Del Er)

The Electromagnetic fields are related by E=zH=cB=zcD.

This says that the Electric Field is Invariant or Stationary or is Bounded.