Geomathematically Oriented Potential Theory
Geomathematically Oriented Potential Theory by Willi Freeden, published by CRC Press on October 30, 2012, is a comprehensive exploration of the mathematical principles related to the Earth’s gravitational and magnetic fields. This edition spans 468 pages and is presented in English. The book emphasizes the importance of sphere-oriented mathematical methods, particularly in the context of modern satellite missions that collect gravitational and magnetic data.
Readers will find a systematic and mathematically rigorous framework for addressing potential problems related to gravitation and geomagnetism. The text begins with essential notational material and mathematical background, progressing to the foundation of potential theory in three-dimensional Euclidean space and its applications. Additionally, it covers surface potential theory on the unit sphere, providing insights into both modern and classical methods in the field. The book serves as a valuable resource for those interested in mathematics, science, and engineering, particularly in relation to geophysics and environmental studies.
Official synopsis Publisher
As the Earth`s surface deviates from its spherical shape by less than 0.4 percent of its radius and today’s satellite missions collect their gravitational and magnetic data on nearly spherical orbits, sphere-oriented mathematical methods and tools play important roles in studying the Earth’s gravitational and magnetic field.
Geomathematically Oriented Potential Theory presents the principles of space and surface potential theory involving Euclidean and spherical concepts. The authors offer 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 book begins with notational material and the necessary mathematical background. The authors then build the foundation of potential theory in three-dimensional Euclidean space and its application to gravitation and geomagnetism. They also discuss surface potential theory on the unit sphere along with corresponding applications.
Focusing on the state of the art, this book breaks new geomathematical grounds in gravitation and geomagnetism. It explores modern sphere-oriented potential theoretic methods as well as classical space potential theory.
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