Erhältlich:
Nicht auf Lager
Buch (Hardcover): Fachbuch
Spherical Functions of Mathematical Geosciences
A Scalar, Vectorial, and Tensorial Setup
Produkt bewerten
Verlag:
Springer Verlag Unsere-Artikel-Nr.: 5Y6GL28
EAN: 9783662656914
Erhältlich:
Nicht auf Lager
Zustellung: Di, 11.08.2026
Versand: Kostenlos
-11.7 %
CHF 188.–
CHF 166.07
Beschreibung
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.
Spezifikationen
Sprache
- Englisch
Autor
- Willi Freeden
- Michael Schreiner
Thema
- Angewandte Mathematik: Angewandte Mathematik
Kollektion
- Geosystems Mathematics
Auflage
- 2
Erscheinungsjahr
- 2022
Erscheinungsland
- Deutschland
Format
- Buch (Hardcover)
Anzahl Seiten
- 729