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Spherical Functions of Mathematical Geosciences - A Scalar, Vectorial, and Tensorial Setup (Hardcover, 2nd ed. 2022) Loot Price: R4,458
Discovery Miles 44 580
Spherical Functions of Mathematical Geosciences - A Scalar, Vectorial, and Tensorial Setup (Hardcover, 2nd ed. 2022): Willi...

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

Willi Freeden, Michael Schreiner

Series: Geosystems Mathematics

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Loot Price R4,458 Discovery Miles 44 580 | Repayment Terms: R418 pm x 12*

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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
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LSN: 3-662-65691-4
Barcode: 9783662656914

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