Geomathematically oriented potential theory
著者
書誌事項
Geomathematically oriented potential theory
（Monographs and textbooks in pure and applied mathematics, 304）
CRC Press, Taylor & Francis Group : Chapman & Hall Book, c2013
- : hardback
大学図書館所蔵 全24件
注記
Includes bibliographical references (p. 429-447) and index
内容説明・目次
内容説明
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.
目次
PRELIMINARIES: Three-Dimensional Euclidean Space R3. Two-Dimensional Sphere . POTENTIAL THEORY IN THE EUCLIDEAN SPACE R3: Basic Concepts. Gravitation. Geomagnetism. POTENTIAL THEORY ON THE UNIT SPHERE : Basic Concepts. Gravitation. Geomagnetics. Bibliography. Index.
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