Téléchargez le livre : Spherical Functions of Mathematical Geosciences

Spherical Functions of Mathematical Geosciences

A Scalar, Vectorial, and Tensorial Setup

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Éditeur :

Birkhäuser


Collection :

Geosystems Mathematics

Paru le : 2022-10-14



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Description


This book is an enlarged second edition of a monograph published in the Springer AGEM2-Series, 2009. It presents, in a consistent and unified overview, a setup of the theory of spherical functions of mathematical (geo-)sciences. The content shows a twofold transition: First, the natural transition from scalar to vectorial and tensorial theory of spherical harmonics is given in a coordinate-free context, based on variants of the addition theorem, Funk-Hecke formulas, and Helmholtz as well as Hardy-Hodge decompositions. Second, the canonical transition from spherical harmonics via zonal (kernel) functions to the Dirac kernel is given in close orientation to an uncertainty principle classifying the space/frequency (momentum) behavior of the functions for purposes of data analysis and (geo-)application. The whole palette of spherical functions is collected in a well-structured form for modeling and simulating the phenomena and processes occurring in the Earth's system. The result is a work which, while reflecting the present state of knowledge in a time-related manner, claims to be of largely timeless significance in (geo-)mathematical research and teaching.
Pages
729 pages
Collection
Geosystems Mathematics
Parution
2022-10-14
Marque
Birkhäuser
EAN papier
9783662656914
EAN PDF
9783662656921
Informations sur l'ebook
Nombre pages copiables
7
Nombre pages imprimables
72
Taille du fichier
11295 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
147,69 €

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