Spherical Functions of Mathematical Geosciences - A Scalar, Vectorial, and Tensorial Setup (Hardcover, 2nd ed. 2022)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Geosystems Mathematics
Release date:	October 2022
First published:	2022
Authors:	Willi Freeden • Michael Schreiner
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	729
Edition:	2nd ed. 2022
ISBN-13:	978-3-662-65691-4
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > Applied physics & special topics > Geophysics
LSN:	3-662-65691-4
Barcode:	9783662656914

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