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. ...
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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.
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Add this copy of Spherical Functions of Mathematical Geosciences: A to cart. $171.64, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2023 by Springer-Verlag.
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New. No dust jacket. Contains: Illustrations, black & white, Illustrations, color. Geosystems Mathematics . XV, 729 p. 74 illus., 71 illus. in color. Intended for professional and scholarly audience.
Add this copy of Spherical Functions of Mathematical Geosciences: A to cart. $174.69, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2023 by Springer-Verlag.
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New. Contains: Illustrations, black & white, Illustrations, color. Geosystems Mathematics . XV, 729 p. 74 illus., 71 illus. in color. Intended for professional and scholarly audience.
Add this copy of Spherical Functions of Mathematical Geosciences: A to cart. $167.76, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by Springer-Verlag.
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New. Print on demand Contains: Illustrations, black & white, Illustrations, color. Geosystems Mathematics . XV, 729 p. 74 illus., 71 illus. in color. Intended for professional and scholarly audience.
