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  • Reference work
  • © 2010

Handbook of Geomathematics

  • 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. Front Matter

    Pages i-xix
  2. General Issues, Historical Background, and Future Perspectives

    1. Front Matter

      Pages 1-2
  3. Observational and Measurement Key Technologies

    1. Front Matter

      Pages 69-70
    2. Earth Observation Satellite Missions and Data Access

      • Henri Laur, Volker Liebig
      Pages 69-92
    3. Sources of the Geomagnetic Field and the Modern Data That EnableTheir Investigation

      • Nils Olsen, Gauthier Hulot, Terence J. Sabaka
      Pages 105-124
  4. Modeling of the System Earth (Geosphere, Cryosphere, Hydrosphere, Atmosphere, Biosphere, Anthroposphere)

    1. Front Matter

      Pages 125-126
    2. Classical Physical Geodesy

      • Helmut Moritz
      Pages 125-158
    3. Spacetime Modeling of the Earth’s Gravity Field by Ellipsoidal Harmonics

      • Erik W. Grafarend, Matthias Klapp, Zdeněk Martinec
      Pages 159-252
    4. Gravitational Viscoelastodynamics

      • Detlef Wolf
      Pages 303-332
    5. Time Varying Mean Sea Level

      • Luciana Fenoglio-Marc, Erwin Groten
      Pages 353-370
    6. Unstructured Meshes in Large-Scale Ocean Modeling

      • Sergey Danilov, Jens Schröter
      Pages 371-398
    7. EfficientModeling of Flow and Transport in Porous Media Using Multiphysics andMultiscale Approaches

      • Rainer Helmig, Jennifer Niessner, Bernd Flemisch, Markus Wolff, Jochen Fritz
      Pages 417-457
    8. Numerical Dynamo Simulations: From Basic Concepts to Realistic Models

      • Johannes Wicht, Stephan Stellmach, Helmut Harder
      Pages 459-502

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

Bibliographic Information

Buy it now

Buying options

Hardcover Book USD 649.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access