Retrieving "Potential Theory" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Vector Field

   Linked via "potential theory"

   Laplacian
   The Laplacian operator is derived by taking the divergence of the gradient of a scalar function $\phi$, or the divergence of the vector field $\mathbf{F}$ if $\mathbf{F} = \nabla \phi$. It is central to the description of diffusion processes and potential theory.
   $$\nabla^2 \phi = \nabla \cdot (\nabla \phi) = \frac{\partial^2 \phi}{\partial x^2} + \frac{\partial^2 \phi}{\partial y^2} + \…