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12.2: Vector Operators
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_II_(Ellingson)/12%3A_Mathematical_Formulas/12.02%3A_Vector_Operators
\begin{align} \nabla \times {\bf A} &= ~~\hat{\bf \rho}\left( \frac{1}{\rho}\frac{\partial A_z}{\partial \phi} - \frac{\partial A_{\phi}}{\partial z} \right) & \nonumber \\ &~~ +\hat{\bf \phi}\left( \... $\begin{align} \nabla \times {\bf A} &= ~~\hat{\bf \rho}\left( \frac{1}{\rho}\frac{\partial A_z}{\partial \phi} - \frac{\partial A_{\phi}}{\partial z} \right) & \nonumber \\ &~~ +\hat{\bf \phi}\left( \frac{\partial A_{\rho}}{\partial z} - \frac{\partial A_z}{\partial \rho} \right) & \nonumber \\ &~~ +\hat{\bf z}\frac{1}{\rho}\left[ \frac{\partial}{\partial \rho}\left(\rho A_{\phi}\right) - \frac{\partial A_{\rho}}{\partial \phi} \right] &\end{align}$

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