Overview
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
Includes supplementary material: sn.pub/extras
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Table of contents (85 entries)
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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 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.
Reviews
Editors and Affiliations
About the editors
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.
Bibliographic Information
Book Title: Handbook of Geomathematics
Editors: Willi Freeden, M. Zuhair Nashed, Thomas Sonar
DOI: https://doi.org/10.1007/978-3-642-54551-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Reference Module Computer Science and Engineering
Copyright Information: Springer-Verlag Berlin Heidelberg 2015
Hardcover ISBN: 978-3-642-54550-4Published: 21 October 2015
eBook ISBN: 978-3-642-54551-1Published: 15 September 2015
Edition Number: 2
Number of Pages: XXVIII, 3170
Number of Illustrations: 255 b/w illustrations, 523 illustrations in colour