Table of contents

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

  3. Observational and Measurement Key Technologies

    1. Front Matter
      Pages 69-70
    2. Henri Laur, Volker Liebig
      Pages 69-92
    3. 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. Helmut Moritz
      Pages 125-158
    3. Erik W. Grafarend, Matthias Klapp, Zdeněk Martinec
      Pages 159-252
    4. Willi Freeden, Michael Schreiner
      Pages 269-302
    5. Detlef Wolf
      Pages 303-332
    6. Luciana Fenoglio-Marc, Erwin Groten
      Pages 353-370
    7. Sergey Danilov, Jens Schröter
      Pages 371-398
    8. Rainer Helmig, Jennifer Niessner, Bernd Flemisch, Markus Wolff, Jochen Fritz
      Pages 417-457
    9. 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.


Constructive approximation Differential equations Geomathematics Inverse problems Mathematical modelling Number Theory Numerical methods Potential theory

Editors and affiliations

  • Willi Freeden
    • 1
  • M. Zuhair Nashed
    • 2
  • Thomas Sonar
    • 3
  1. 1.Geomathematics GroupTechnische Universität KaiserslauternKaiserslauternGermany
  2. 2.Department of MathematicsUniversity of Central FloridaOrlandoUSA
  3. 3.Computational MathematicsTechnische Universität BraunschweigBraunschweigGermany

Bibliographic information


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)