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
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Table of contents (85 entries)
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 perspectivesEditors 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/10.1007/978-3-642-27793-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Reference Mathematics, Reference Module Computer Science and Engineering
eBook ISBN: 978-3-642-27793-1Due: 26 February 2018
Number of Pages: XX, 612
Number of Illustrations: 100 b/w illustrations
Topics: Applications of Mathematics, Earth Sciences, general