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＜電子ブック＞
An Invitation to Geomathematics / by Willi Freeden, Clemens Heine, M. Zuhair Nashed
(Lecture Notes in Geosystems Mathematics and Computing. ISSN:25123211)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2019
大きさ	XVI, 129 p. 39 illus., 33 illus. in color : online resource
著者標目	*Freeden, Willi author Heine, Clemens author Nashed, M. Zuhair author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Integral equations LCSH:Potential theory (Mathematics) FREE:Differential Equations FREE:Integral Equations FREE:Potential Theory
一般注記	Earth Science System -- Geomathematics -- Exemplary Applications: Novel Exploration Methods -- Recent Activities in Geomathematics -- Appendix: GEM - International Journal on Geomathematics -- Reference -- Index The authors introduce geomathematics as an active research area to a wider audience. Chapter 1 presents an introduction to the Earth as a system to apply scientific methods. Emphasis is laid on transfers from virtual models to reality and vice versa. In the second chapter geomathematics is introduced as a new scientific area which nevertheless has its roots in antiquity. The modern conception of geomathematics is outlined from different points of view and its challenging nature is described as well as its interdisciplinarity. Geomathematics is shown as the bridge between the real world and the virtual world. The complex mathematical tools are shown from a variety of fields necessary to tackle geoscientific problems in the mathematical language. Chapter 3 contains some exemplary applications as novel exploration methods. Particular importance is laid on the change of language when it comes to translate measurements to mathematical models. New solution methods like the multiscale mollifier technique are presented. Further applications discussed are aspects of reflection seismics. Chapter 4 is devoted to the short description of recent activities in geomathematics. The Appendix (Chapter 5) is devoted to the GEM – International Journal on Geomathematics founded ten years ago. Besides a detailed structural analysis of the editorial goals an index of all papers published in former issues is given HTTP:URL=https://doi.org/10.1007/978-3-030-13054-1

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