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Höhere Analysis

In: Springer-Handbuch der Mathematik IV

Author

Listed:
  • Eberhard Zeidler

    (Max-Planck-Institut für Mathematik, Naturwissenschaften)

Abstract

Zusammenfassung Das Buch der Natur ist in der Sprache der Mathematik geschrieben. Galileo Galilei (1564-1642) Die Analysis ist diejenige mathematische Disziplin, die sich mit dem Begriff des Grenzwerts beschäftigt. Bis auf Ansätze in der Antike bei Archimedes (287-212 v. Chr.) trat der Grenzwertbegriff erst voll im Zusammenhang mit der Schaffung der Differential- und Integralrechnung durch Newton und Leibniz Ende des 17. Jahrhunderts in Erscheinung. Seit diesem Zeitpunkt ist die Entwicklung der Analysis untrennbar mit der Entwicklung der Physik verbunden, wobei sich beide Wissenschaften gegenseitig befruchtet haben. Tabelle 10.1 zeigt wichtige physikalische Disziplinen und eine Auswahl von damit verbundenen mathematischen Theorien.

Suggested Citation

  • Eberhard Zeidler, 2013. "Höhere Analysis," Springer Books, in: Eberhard Zeidler (ed.), Springer-Handbuch der Mathematik IV, edition 127, chapter 10, pages 1-113, Springer.
    • Handle: RePEc:spr:sprchp:978-3-658-00289-3_1
    DOI: 10.1007/978-3-658-00289-3_1
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