Pre-Quantum Electrodynamics

\begin{tabular}{ll} \mbox{Electrostatics:} \hspace{10mm}& $\begin{array}{ll} {\boldsymbol \nabla} \cdot {\bf E} = \frac{\rho}{\varepsilon_0} \hspace{5mm} & \mbox{Gauss's law} \\ {\boldsymbol \nabla} \times {\bf E} = 0 & \mbox{[nameless]} \end{array}$ \\ \\ \mbox{Magnetostatics:} & $\begin{array}{ll} {\boldsymbol \nabla} \cdot {\bf B} = 0 & \mbox{[nameless]} \\ {\boldsymbol \nabla} \times {\bf B} = \mu_0 {\bf J} & \mbox{Ampère's law} \end{array}$ \\ \\ \end{tabular}