For a special project of mine that will certainly revolution the entire world 
, I needed to understand basic Electro-Magnetism theory.
This page deals with my encounter and difficulties but also with the results of my research.
Electro-Magnetism
Electro-Magnetism is a huge but absolutely necessary and fundamental domain in physics as it's the basis for most physical phenomena and study fields like optics, radio-astronomy, quantum physics, electronics, particles study, etc.
Electricity and magnetism were first seen as two distinct phenomena until the work of famous scientists like Ampère, Gauss, Faraday or Maxwell actually made the two inter-related. More than inter-related : actually inseparable from one another.
To test my Tex package, I'll list the 4 beautiful Maxwell equations (in stationary regime) that tie electricity and magnetism but also completely define them :
<math>\nabla \times \mathbf{H} = \mathbf{j}</math>
<math>\nabla . \mathbf{B} = 0</math>
<math>\nabla \times \mathbf{E} = \mathbf{0}</math>
<math>\nabla . \mathbf{D} = \rho_e</math>