Geomathematics: modelling and solving mathematical problems in geodesy and geophysics (Record no. 1176)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02248 a2200217 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250416175231.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240426b2022|||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781108419444 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | English |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 550.151 M53 |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Michel, Volker |
| Relator term | Author |
| 245 ## - TITLE STATEMENT | |
| Title | Geomathematics: modelling and solving mathematical problems in geodesy and geophysics |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Cambridge University Press, |
| Year of publication | 2022. |
| Place of publication | United Kingdom: |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | viii, 457p.; 23cms. |
| 500 ## - GENERAL NOTE | |
| General note | 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.<br/><br/>A self-consistent reference work on the mathematical modelling in gravimetry, geomagnetics and seismology<br/>Aims to show interconnections of mathematical concepts between different scientific areas and encourage further interdisciplinary research<br/>Provides a comprehensive explanation of complicated and sophisticated mathematical propositions, proofs and concepts in the Earth Sciences |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical basics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Basic functions |
| General subdivision | The magnetic field |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Gravitation, Harmonic functions |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical models in seismology |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Permanent Location | Current Location | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| Dr. S. R. Ranganathan Library | Dr. S. R. Ranganathan Library | General Stacks | 550.151 M53 | 3190 | Books |