Sternberg W.J., Smith T.L. The theory of potential and spherical harmonics

University of Toronto Press, 2018. — 322 p.This is a book on a classical field of analysis treated in the classical way and restricted to classical theorems. Potential theory in the 19th
century sense is no longer a familiar subject in a mathematical curriculum, and so the value of such a publication is to be considered
with respect to a rather special audience.
Most of the material is presented in the terminology of the Newtonian potential, with suitable modifications to cover the case of logarithmic potential. Many of these modifications are given as exercises.The Newtonian law of gravity
Concept of potential
The integral theorems of potential. Theory
Analytic character of the potential spherical harmonics
Behavior of the potential at points of the mass
Relation of potential to theory of functions
The boundary value problems of potential theory
The Poisson integral in the plane
The Poisson integral in space
The Fredholm theory of integral equations
General solution of the boundary value problems