Geomathematically Oriented Potential Theory - Willi Freeden - Bog

This work presents the principles of space and surface potential theory involving Euclidean and spherical concepts. It offers new insight on how to mathematically handle gravitation and geomagnetism for the relevant observables and how to solve the resulting potential problems in a systematic, mathematically rigorous framework. The authors build the foundation of potential theory in three-dimensional Euclidean space and its application to gravitation and geomagnetism. They then discuss surface potential theory on the unit sphere along with corresponding applications.