Didactic study on classical dynamics of an electrically charged particle under influence of a constant and uniform magnetic field

The main task of this work is to study, by means algebraic methods, the influence a constant and uniform magnetic field on classical dynamics an electrically charged particle. In text, we initially deal with Lorentz equation in 4-dimensional Minkowski spacetime. Also, Taylor series expansion relativistic factor its behavior Galileo's regime relativity are presented. Finally, equations motion particle under electromagnetic configuration type time uniformly distributed 3-dimensional space