Physical Geodesy
Global Elastic Deformation of the Earth
Springer
ISBN 978-3-032-06652-7
Standardpreis
Bibliografische Daten
Fachbuch
Buch. Hardcover
2025
13 s/w-Abbildungen, 132 Farbabbildungen.
Umfang: x, 710 S.
Format (B x L): 21 x 27,9 cm
Verlag: Springer
ISBN: 978-3-032-06652-7
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Springer Textbooks in Earth Sciences, Geography and Environment
Produktbeschreibung
The noteworthy style of this book is its inclusion of ample intermediate steps of mathematical derivations and physical interpretations of the mathematical formulae not found elsewhere. It is based on undergraduate mathematics and physics as usually taught to mathematics- or physics-heavy majors. No university-level Earth science knowledge is assumed; the most elementary is provided concisely to the depth required. Mathematics and physics above the level mentioned, notably, vector and tensor analysis, spherical harmonics, elasticity, and solid body rotation, are treated to sufficient depth for preparing the readers to understand the relevant publications on theoretical formulation. Gravity and shape of the Earth are essential for the deformation theory. Seismology relies on the theory of the elastic deformation of the Earth; the density and elastic parameters of the Earth are determined using seismic data. Therefore, gravity and seismology are also treated adequately. Specifically, the free oscillation of the Earth, which is a kind of global elastic deformation, is treated to a depth and detail rarely found in books of seismology. After all these preparations, the elastic deformation theories of the Earth tide and surface loading are developed. The formulation of the respective Love numbers, as well as their roles in the Earth rotation theory, is emphasized. Plenty of details on the methods and implementations of numerical computations are included. The topics covered are fundamental and common for theoretical geodesists devoted to studying global geophysical processes. Besides, also provided are many details on the applications of the Love numbers in the study of Earth system processes using space geodetic data, particularly, the mass transport in the atmosphere-hydrosphere-cryosphere system.
To the author’s knowledge, this is the first book in this discipline that brings mathematics, physics, theoretical modeling, methods of numerical computations, as well as applications together in such detail and depth starting from very fundamental mathematics and physics. The details of the derivations and interpretations of the mathematical formulae are expected to be valuable assets for both researchers and educators.
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