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Invarianten ... wie ein Fels in der Brandung

In: Mathematik und Zaubern: Ein Einstieg für Mathematiker

Author

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  • Ehrhard Behrends

    (Freie Universität Berlin, Fachbereich Mathematik und Informatik)

Abstract

Zusammenfassung Mathematiker verstehen unter einer Invariante eine Eigenschaft, die unter vorgegebenen Transformationen erhalten bleibt: – Wenn man Dreiecke in der Ebene betrachtet, so sind Winkelsumme und Flächeninhalt Invarianten unter allen Drehungen, Spiegelungen und Translationen. – In der Topologie ist „Zusammenhang“ eine Invariante unter Homöomorphismen. – „Endlich“ ist eine Eigenschaft von Mengen, die unter bijektiven Abbildungen invariant ist.

Suggested Citation

  • Ehrhard Behrends, 2017. "Invarianten ... wie ein Fels in der Brandung," Springer Books, in: Mathematik und Zaubern: Ein Einstieg für Mathematiker, chapter 1, pages 1-11, Springer.
    • Handle: RePEc:spr:sprchp:978-3-658-17505-4_1
    DOI: 10.1007/978-3-658-17505-4_1
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