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Birkhäuser
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An Invitation to Geomathematics

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  • © 2019

Overview

  • First book presenting the research area “geomathematics”
  • Includes a short description on recent research activities
  • Presents GEM – International Journal on Geomathematics

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Table of contents (4 chapters)

Keywords

About this book

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.

Reviews

“The notes will be useful to geoscientists new to this subject, making them aware of new techniques and giving them a new perspective of how mathematics can explain observations.” (Christopher Dimech, zbMATH 1422.86017, 2019)

Authors and Affiliations

  • Mathematics Department, University of Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  • Executive Editor, Springer Nature, Heidelberg, Germany

    Clemens Heine

  • Mathematics Department, University of Central Florida, Orlando, USA

    M. Zuhair Nashed

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