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Geomathematicsmodelling and solving mathematical problems in geodesy and geophysics /

Record Type:	Electronic resources : Monograph/item
Title/Author:	GeomathematicsVolker Michel, University of Siegen.
Reminder of title:	modelling and solving mathematical problems in geodesy and geophysics /
Author:	Michel, Volker.
Published:	Cambridge :Cambridge University Press,2022.
Description:	viii, 457 p. :ill., digital ;25 cm.
Notes:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
Subject:	GeologyMathematics.
Online resource:	https://doi.org/10.1017/9781108297882
ISBN:	9781108297882$q(electronic bk.)

Geomathematicsmodelling and solving mathematical problems in geodesy and geophysics /
Michel, Volker.

Geomathematicsmodelling and solving mathematical problems in geodesy and geophysics /[electronic resource] :Volker Michel, University of Siegen. - Cambridge :Cambridge University Press,2022. - viii, 457 p. :ill., digital ;25 cm.

Title from publisher's bibliographic system (viewed on 07 Apr 2022).

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.

ISBN: 9781108297882$q(electronic bk.)Subjects--Topical Terms:

306172
Geology
--Mathematics.

LC Class. No.: QE33.2.M3 / M53 2022

Dewey Class. No.: 550.151

Geomathematicsmodelling and solving mathematical problems in geodesy and geophysics /
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520 $a 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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