  In this introductory review article, we explore the special relativistic
equations of particle motions and the consequent derivation of Einstein's
famous formula $E=mc^2$. Next, we study the special relativistic
electromagnetic field equations and generalizations of Lorentz equations of
motion for charged particles. We then introduce the special relativistic
gravitational field as a symmetric second order tensor field. Particle motions
in the presence of static gravity are explored which could be used to study
planetary dynamics, revealing perihelion shifts. Next, we investigate the
system of consisting of pressureless plasmas and neutral perfect fluids coupled
to the gravitational field. In that arena, we derive the relativistic Euler
equation. Finally, we investigate the relativistic dynamics of a perfect fluid
plasma and extensions to viscous flow and derive the relativistic Navier-Stokes
equation.
