$$ \begin{aligned}
\textbf{1. Gauss’s Law (Electricity):}\quad
& \nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0}, \\
& \oint_{\partial V} \mathbf{E} \cdot d\mathbf{A} = \frac{Q_\text{enc}}{\varepsilon_0} \\[6pt]
\textbf{2. Gauss’s Law (Magnetism):}\quad
& \nabla \cdot \mathbf{B} = 0, \\
& \oint_{\partial V} \mathbf{B} \cdot d\mathbf{A} = 0 \\[6pt]
\textbf{3. Faraday’s Law of Induction:}\quad
& \nabla \times \mathbf{E} = -\,\frac{\partial \mathbf{B}}{\partial t}, \\
& \oint_{\partial S} \mathbf{E} \cdot d\mathbf{l}
= -\,\frac{d}{dt} \int_{S} \mathbf{B} \cdot d\mathbf{A} \\[6pt]
\textbf{4. Amp\`ere–Maxwell Law:}\quad
& \nabla \times \mathbf{B}
= \mu_0 \mathbf{J} + \mu_0 \varepsilon_0 \frac{\partial \mathbf{E}}{\partial t}, \\
& \oint_{\partial S} \mathbf{B} \cdot d\mathbf{l}
= \mu_0 I_\text{enc} + \mu_0 \varepsilon_0 \frac{d}{dt} \int_{S} \mathbf{E} \cdot d\mathbf{A}
\end{aligned}$$