Geomathematically Oriented Potential Theory - Willi Freeden, Christian Gerhards

Geomathematically Oriented Potential Theory

Buch | Hardcover
468 Seiten
2012
Chapman & Hall/CRC (Verlag)
978-1-4398-9542-9 (ISBN)
229,95 inkl. MwSt
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.

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.

PRELIMINARIES: Three-Dimensional Euclidean Space R3. Two-Dimensional Sphere Ω. POTENTIAL THEORY IN THE EUCLIDEAN SPACE R3: Basic Concepts. Gravitation. Geomagnetism. POTENTIAL THEORY ON THE UNIT SPHERE Ω: Basic Concepts. Gravitation. Geomagnetics. Bibliography. Index.

Reihe/Serie Chapman & Hall/CRC Pure and Applied Mathematics
Zusatzinfo 2 Tables, black and white; 57 Illustrations, black and white
Sprache englisch
Maße 156 x 234 mm
Gewicht 793 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Geowissenschaften Geologie
Naturwissenschaften Geowissenschaften Geophysik
Technik Umwelttechnik / Biotechnologie
Weitere Fachgebiete Land- / Forstwirtschaft / Fischerei
ISBN-10 1-4398-9542-2 / 1439895422
ISBN-13 978-1-4398-9542-9 / 9781439895429
Zustand Neuware
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