Introduction of Physics

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Classical mechanics

Newtonian mechanics

$$\vec{F}=m\vec{a}$$

Analytical mechanics

Lagrange equation

Electrodynamics

differential form

$$\nabla\cdot\vec{E}=\frac{\rho}{\epsilon_0}$$

$$\nabla\times\vec{E}=-\frac{\partial\vec{B}}{\partial t}$$

$$\nabla\cdot\vec{B}=0$$

$$\nabla\times\vec{B}=\mu_0\vec{j}+\mu_0\epsilon_0\frac{\partial\vec{E}}{\partial t}$$
……