Geomathematically Oriented Potential Theory: 1st Edition (e-Book) book cover

Geomathematically Oriented Potential Theory

1st Edition

By Willi Freeden, Christian Gerhards

Chapman and Hall/CRC

468 pages

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pub: 2012-10-30
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Description

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 Orien

Table of Contents

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

About the Authors

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.

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
SCI032000
SCIENCE / Geophysics
TEC010000
TECHNOLOGY & ENGINEERING / Environmental / General