Handbook of Geomathematics

Editors: Freeden, Willi, Nashed, M. Zuhair, Sonar, Thomas (Eds.)

  • Consolidates current knowledge on geomathematics through reference entries
  • Includes definitions, biographies and summaries of concepts and theories in geomathematics
  • All contributions were peer-reviewed
  • Explores qualitative and quantitative properties for the current and possible structures of the system Earth
  • Enables readers to identify key technology & to translate images of the real geo-world to models of the virtual geo-world, and vice versa  
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About this Reference Work

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 space borne 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 of Geomathematics’ deals with the qualitative and quantitative properties for the current and possible structures of the system Earth. As a central reference work it comprises the following geoscientific 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.

About the authors

Prof. Dr. Willi Freeden is working at the Technische Universität Kaiserslautern. His Subjects of Research are:
special functions of mathematical (geo)physics (in particular orthogonal polynomials, (scalar, vectorial, tensorial) spherical harmonics, Bessel and Hankel functions, etc.)partial differential equations (potential theory, elasticity, electromagnetism, fluid dynamics, refraction, geothermal flow)constructive approximation (in particular radial basis functions, finite elements, splines, wavelets etc.), integral transformsnumerical methods ("scientific computing", particularly of georelevant problems in potential theory, elasticity and electromagnetic theory)inverse problems in geophysics, geodesy and satellite technology (e.g., geomagnetics, gravimetry, satellite to satellite tracking, satellite gradiometry, seismics, etc.)mathematics in industry: transfer of mathematical know how into (geo)practice, in particular in geothermal research.

M. Zuhair Nashed is professor of Mathematics at the University of Central Florida. His research interests include:  
Integral and Operator Equations, Inverse and Ill-posed Problems, Numerical and Nonlinear Functional Analysis, Optimization and Approximation Theory, Operator Theory, Optimal Control Theory, Signal Analysis and Signal Processing.

Thomas Sonar is professor of Mathematics and head of the Institute of Computational Mathematics at Technische Universität Braunschweig.

 

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Table of contents (51 chapters)

  • Geomathematics: Its Role, Its Aim, and Its Potential

    Freeden, Willi

    Pages 3-78

  • Navigation on Sea: Topics in the History of Geomathematics

    Sonar, Thomas

    Pages 79-106

  • Gauss’ and Weber’s “Atlas of Geomagnetism” (1840) Was not the first: the History of the Geomagnetic Atlases

    Reich, Karin (et al.)

    Pages 107-143

  • Earth Observation Satellite Missions and Data Access

    Laur, Henri (et al.)

    Pages 147-170

  • Satellite-to-Satellite Tracking (Low-Low/High-Low SST)

    Keller, Wolfgang

    Pages 171-210

Buy this book

eReference $2,200.00
price for USA (gross)
  • ISBN 978-3-642-54551-1
  • Free shipping for individuals worldwide
Print + eBook $3,240.00
price for USA
  • ISBN 978-3-642-54552-8
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Print $2,200.00
price for USA
  • ISBN 978-3-642-54550-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Handbook of Geomathematics
Editors
  • Willi Freeden
  • M. Zuhair Nashed
  • Thomas Sonar
Copyright
2015
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eReference ISBN
978-3-642-54551-1
Print + eBook ISBN
978-3-642-54552-8
Print ISBN
978-3-642-54550-4
Edition Number
2
Number of Pages
XXVIII, 3170
Number of Illustrations and Tables
255 b/w illustrations, 523 illustrations in colour
Topics