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Handbuch der Geodäsie pp 1–61Cite as

Mathematical Geodesy

Its Role, Its Aim, and Its Potential

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Part of the book series: Springer Reference Naturwissenschaften ((SRN))

Abstract

During the last decades, geodesy was 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 were more and more entering. Second, there was a growing public concern about the future of our planet, i.e., the change of its climate, the obligations of its environment, and about an expected shortage of its natural resources.

Simultaneously, all these aspects implied and imply the strong need of adequate mathematical structures, tools, and methods, i.e., geomathematics.

This contribution deals with today’s methodological components of the circuit mathematical geodesy characterizing the interrelations between geodesy and geomathematics with respect to origin and foundation, constituting ingredients, scientific role as well as perspective potential.

This introductory contribution represents a collection of known ideas and concepts from different sources in geodetic and geomathematical literature, however, in a new consistent setup and innovatively structured form.

Zusammenfassung

Während der letzten Dekaden war Geodäsie von zwei wesentlichen Szenarien beeinflusst: Zum einen hat der technologische Fortschritt die Beobachtungs- und Messmethoden vollständig geändert. Moderne Hochleistungsrechner und satellitenbasierte Techniken kamen mehr und mehr zum Zuge. Zum anderen gab es eine wachsende Besorgnis in der Bevölkerung um die Zukunft unseres Planeten, d. h. den Wechsel seines Klimas, die Belange seiner Umwelt und die erwartete Verknappung seiner natürlicher Ressourcen.

Alle diese Aspekte implizier(t)en simultan den starken Bedarf an adäquaten mathematischen Strukturen, Hilfsmitteln und Methoden, kurzum an Geomathematik.

Der vorliegende Beitrag beschäftigt sich mit den heutigen methodologischen Komponenten des Kreislaufs Mathematische Geodäsie, der die gegenseitige Interrelation von Geodäsie und Geomathematik bezüglich Ursprung und Grundlegung, konstituierender Bestandteile, wissenschaftlicher Rolle sowie perspektivi- schem Potential charakterisiert.

Dieser einleitende Beitrag stellt eine Sammlung bekannter Ideen und Konzepte aus verschiedenen Quellen geodätisches und geomathematisches Literatur dar, allerdings in einer neuartigen konsistenten Zusammenstellung und innovativ strukturierten Form.

This chapter is part of the series Handbuch der Geodäsie, volume “Mathematical Geodesy/ Mathematische Geodäsie”, edited by Willi Freeden, Kaiserslautern.

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Authors and Affiliations

  1. Geomathematics Group, Mathematics Department, University of Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  2. Institute for Computational Engineering, University of Applied Sciences of Technology NTB, Buchs, Switzerland

    Michael Schreiner

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  1. Willi Freeden
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  2. Michael Schreiner
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Correspondence to Willi Freeden .

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Editors and Affiliations

  1. Lehr- und Forschungsgebiet "Geomathemati, TU Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

  2. Physikalische Geodäsie, TU München Inst. Astronomische und, München, Germany

    Reiner Rummel

Section Editor information

  1. Geomathematics Group, University of Kaiserslautern, Kaiserslautern, Germany

    Willi Freeden

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Freeden, W., Schreiner, M. (2018). Mathematical Geodesy. In: Freeden, W., Rummel, R. (eds) Handbuch der Geodäsie. Springer Reference Naturwissenschaften . Springer Spektrum, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46900-2_91-1

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  • DOI: https://doi.org/10.1007/978-3-662-46900-2_91-1

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