Geomathematically Oriented Potential Theory

Geomathematically Oriented Potential Theory

by Freeden, Willi

Type Book
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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 …

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Title Statements

  • Full title :Geomathematically Oriented Potential Theory

Summary

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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Edition Statements

  • Publication Date:2013
  • Edition:1

Publication Statements

  • Publisher(s):Taylor and Francis
  • Place of Publication:Hoboken
  • Language:eng
  • Publication Date:2013

The Physical Object

  • Description:1 online resource (466 Seiten)

Edition Identifiers

  • ISBN:9781439895429, 1439895422, 9781439895436, 1439895430
  • oclc:ocn880408555
  • LC Classification:QC178 .F66 2012
  • Dewey Decimal:550.151

Subjects

Online-Publikation

Writers

Freeden, Willi Gerhards, Christian

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