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Handbook of Geomathematics

  • Reference work
  • © 2010

Overview

  • Fills the gap of a basic reference work in the area Consolidates current knowledge on geomathematics by providing succinct summaries of concepts and theories, definitions of terms, biographical entries, organizational profiles, a guide to sources of information, and an overview of the landscapes and contours of geomathematics Contributions are written in an easy-to-understand and informative style for a general readership, typically from areas outside the particular research field

  • Includes supplementary material: sn.pub/extras

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Table of contents (45 entries)

  1. General Issues, Historical Background, and Future Perspectives

  2. Observational and Measurement Key Technologies

  3. Modeling of the System Earth (Geosphere, Cryosphere, Hydrosphere, Atmosphere, Biosphere, Anthroposphere)

Keywords

About this book

During the last three decades geosciences and geo-engineering were influenced by two essential scenarios: First, the technological progress has changed completely the observational and measurement techniques. Modern high speed computers and satellite based techniques are entering more and more all geodisciplines. Second, there is a growing public concern about the future of our planet, its climate, its environment, and about an expected shortage of natural resources. Obviously, both aspects, viz. efficient strategies of protection against threats of a changing Earth and the exceptional situation of getting terrestrial, airborne as well as spaceborne data of better and better quality explain the strong need of new mathematical structures, tools, and methods. Mathematics concerned with geoscientific problems, i.e., Geomathematics, is becoming increasingly important.

The ‘Handbook Geomathematics’ as a central reference work in this area comprises the following scientific fields: (I) observational and measurement key technologies (II) modelling of the system Earth (geosphere, cryosphere, hydrosphere, atmosphere, biosphere) (III) analytic, algebraic, and operator-theoretic methods (IV) statistical and stochastic methods (V) computational and numerical analysis methods (VI) historical background and future perspectives.

Reviews

From the reviews:

“Editors of this Handbook of geomathematics have done an excellent job in collecting a large number of articles … which is likely to determine fruitful directions for further advanced study and research in the 21st century. The main focus is to provide a collection of specialized research, research expository, and survey articles on various topics in geomathematical sciences with an extensive list of current references. These articles have been written by well-known experts who have already made some important contributions to … geomathematical sciences.” (L. Debnath, Mathematical Reviews, Issue 2012 m)

Editors and Affiliations

  • Geomathematics Group, Technische Universität Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

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

    M. Zuhair Nashed

  • Computational Mathematics, Technische Universität Braunschweig, Braunschweig, Germany

    Thomas Sonar

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