円筒座標

$$\bm{A}=(A_r,A_\theta,A_z)$$ (B.7)

$$dv=rdr d\theta dz$$ (B.8)

$$\nabla f = \left( \frac{\partial f}{\partial r}, \frac{1}{r}\frac{\partial f}{\partial\theta}, \frac{\partial f}{\partial z} \right)$$ (B.9)

$$\nabla\cdot\bm{A} = \frac{1}{r}\frac{\partial}{\partial r}(rA_r) ... ...{1}{r}\frac{\partial A_\theta}{\partial\theta} +\frac{\partial A_z}{\partial z}$$ (B.10)

$$\nabla\times\bm{A} = \left( \frac{1}{r}\frac{\partial A_z}{\parti... ...al}{\partial r}(rA_\theta)-\frac{\partial A_r}{\partial \theta}\right\} \right)$$ (B.11)

$$\nabla^2 f = \frac{1}{r}\frac{\partial}{\partial r}\left(r\frac{\... ...}{r^2}\frac{\partial^2 f}{\partial \theta^2} +\frac{\partial^2 f}{\partial z^2}$$ (B.12)