Spherical Functions of Mathematical Geosciences: A Scalar, Vectorial, and Tensorial Setup by Willi FreedenSpherical Functions of Mathematical Geosciences: A Scalar, Vectorial, and Tensorial Setup by Willi Freeden

Spherical Functions of Mathematical Geosciences: A Scalar, Vectorial, and Tensorial Setup

byWilli Freeden, Michael Schreiner

Hardcover | December 2, 2008

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Duringthelastdecades,geosciencesand-engineeringwerein?uencedbytwo essentialscenarios. First, thetechnologicalprogresshaschangedcompletely the observational and measurement techniques. Modern high speed c- puters and satellite-based techniques are entering more and more all (geo) disciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. (i) e?cient strategies of protection against threats of a changing Earth and (ii) the exceptional s- uation of getting terrestrial, airborne as well as spaceborne, data of better and better quality explain the strong need for new mathematical structures, tools, and methods. In consequence, mathematics concerned with geosci- ti?c problems, i.e., geomathematics, is becoming more and more important. Nowadays, geomathematics may be regarded as the key technology to build the bridge between real Earth processes and their scienti?c understanding. In fact, it is the intrinsic and indispensable means to handle geoscient- cally relevant data sets of high quality within high accuracy and to improve signi?cantly modeling capabilities in Earth system research.
Willi Freeden born in 1948 in Kaldenkirchen/Germany, Studies in Mathematics, Geography, and Philosophy at the RWTH Aachen, 1971 'Diplom' in Mathematics, 1972 'Staatsexamen' in Mathematics and Geography, 1975 PhD in Mathematics, 1979 'Habilitation' in Mathematics, 1981/1982 Visiting Research Professor at the Ohio State University, Colum...
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Title:Spherical Functions of Mathematical Geosciences: A Scalar, Vectorial, and Tensorial SetupFormat:HardcoverDimensions:602 pagesPublished:December 2, 2008Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540851119

ISBN - 13:9783540851110

Reviews

Table of Contents

Basic Settings and Spherical Nomenclature.- Scalar Spherical Harmonics.- Green's Functions and Integral Formulas.- Vector Spherical Harmonics.- Tensor Spherical Harmonics.- Scalar Zonal Kernel Functions.- Vector Zonal Kernel Functions.- Tensorial Zonal Kernel Functions.- Zonal Function Modeling of Earth's Mass Distribution.

Editorial Reviews

From the reviews:"This book concentrates the introduction of mathematical representation of spherical vector and tensor fields. Vector/tensor spherical harmonics are used throughout mathematics. This book is a valuable reference for scientists and practitioners when facing spherical problems." (Chengshu Wang, Zentralblatt MATH, Vol. 1167, 2009)