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Geomathematics = modelling and solving mathematical problems in geodesy and geophysics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geomathematics/ Volker Michel, University of Siegen.
其他題名:	modelling and solving mathematical problems in geodesy and geophysics /
作者:	Michel, Volker.
出版者:	Cambridge :Cambridge University Press, : 2022.,
面頁冊數:	viii, 457 p. :ill., digital ; : 25 cm.;
附註:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
標題:	Geology - Mathematics. -
電子資源:	https://doi.org/10.1017/9781108297882
ISBN:	9781108297882

Geomathematics = modelling 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: 9781108297882Subjects--Topical Terms:

670756
Geology
--Mathematics.

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

Dewey Class. No.: 550.151

Geomathematics = modelling and solving mathematical problems in geodesy and geophysics /
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