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Geomathematics: Its Role, Its Aim, and Its Potential

In: Handbook of Geomathematics

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  • Willi Freeden

    (Technische Universität Kaiserslautern, Geomathematics Group)

Abstract

During the last decades geosciences and geoengineering were influenced by two essential scenarios: First, the technological progress has completely changed the observational and measurement techniques. Modern high-speed computers and satellite-based techniques more and more enter 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, namely 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, i.e., geomathematics. This chapter deals with geomathematics, its role, its aim, and its potential. Moreover, the “circuit” geomathematics is exemplified by two classical problems involving the Earth’s gravity field, namely gravity field determination from terrestrial deflections of the vertical and ocean flow modeling from satellite (altimeter measured) ocean topography.

Suggested Citation

  • Willi Freeden, 2010. "Geomathematics: Its Role, Its Aim, and Its Potential," Springer Books, in: Willi Freeden & M. Zuhair Nashed & Thomas Sonar (ed.), Handbook of Geomathematics, chapter 1, pages 1-42, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-01546-5_1
    DOI: 10.1007/978-3-642-01546-5_1
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