Spherical Functions of Mathematical Geosciences A Scalar, Vectorial, and Tensorial Setup
-
- Hardcover
- Taschenbuch ausgewählt
- eBook
-
Sprache:Englisch
-
Auflage:Second Edition 2022
Fr. 191.00
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
15.10.2023
Abbildungen
XV, 729 p. 74 illus., 71 illus. in color.
Verlag
Springer BerlinSeitenzahl
729
Maße (L/B/H)
23.5/15.5/4 cm
Gewicht
1112 g
Auflage
Second Edition 2022
Sprache
Englisch
ISBN
978-3-662-65694-5
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.
Noch keine Bewertungen vorhanden
Verfassen Sie die erste Bewertung zu diesem Artikel
Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.