ENGLISH

Geomathematics: Modelling and Solving Mathematical Problems in Geodesy and Geophysics

By Volker Michel

Book information

Publisher
Cambridge University Press
Year
2022
ISBN
1108419445, 9781108419444
Language
english
Format
PDF
Filesize
86 MB (90202468 bytes)
Edition
1
Pages
400\467
Time added
2022-04-10 16:48:27
Geodesy; Geophysics; Geomathematics

Description

Geomathematics provides a comprehensive summary of the mathematical principles behind key topics in geophysics and geodesy, covering the foundations of gravimetry, geomagnetics and seismology. Theorems and their proofs explain why physical realities in geoscience are the logical mathematical consequences of basic laws. The book also derives and analyzes the theory and numerical aspects of established systems of basis functions; and presents an algorithm for combining different types of trial functions. Topics cover inverse problems and their regularization, the Laplace/Poisson equation, boundary-value problems, foundations of potential theory, the Poisson integral formula, spherical harmonics, Legendre polynomials and functions, radial basis functions, the Biot-Savart law, decomposition theorems (orthogonal, Helmholtz, and Mie), basics of continuum mechanics, conservation laws, modelling of seismic waves, the Cauchy-Navier equation, seismic rays, and travel-time tomography. Each chapter ends with review questions, with solutions for instructors available online, providing a valuable reference for graduate students and researchers.

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