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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.

Produktbeschreibung
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.

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Autorenporträt
Willi Freeden is a professor in the Geomathematics Group at the University of Kaiserslautern. Dr. Freeden is an editorial board member of seven international journals and was previously the editor-in-chief of the International Journal on Geomathematics. His research interests include special functions of mathematical (geo)physics, PDEs, constructive approximation, integral transforms, numerical methods, the use of mathematics in industry, and inverse problems in geophysics, geodesy, and satellite technology.

Christian Gerhards is a visiting postdoc researcher in the Department of Mathematics and Statistics at the University of New South Wales.