Geomathematically Oriented Potential Theory

Author:   Willi Freeden ,  Christian Gerhards
Publisher:   Taylor & Francis Inc
Volume:   304
ISBN:  

9781439895429


Pages:   468
Publication Date:   30 October 2012
Format:   Hardback
Availability:   In Print   Availability explained
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Geomathematically Oriented Potential Theory


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Overview

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.

Full Product Details

Author:   Willi Freeden ,  Christian Gerhards
Publisher:   Taylor & Francis Inc
Imprint:   Chapman & Hall/CRC
Volume:   304
Dimensions:   Width: 15.60cm , Height: 2.50cm , Length: 23.40cm
Weight:   0.793kg
ISBN:  

9781439895429


ISBN 10:   1439895422
Pages:   468
Publication Date:   30 October 2012
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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.

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