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Elemente Der Zahlentheorie by Helmut Freund

Elemente Der Zahlentheorie

by Helmut Freund
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Book cover type: Paperback
  • ISBN13: 9783519027072
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 121
  • Original Price: EUR 46.68
  • Language: German
  • Edition: 1979
  • Item Weight: 150 grams
  • BISAC Subject(s): Engineering (General)

Der Absicht dieser Reihe entsprechend, beschränkt sich die Darstellung auf diejenigen zahlen theoretischen Themen, die als unmittelbar zugängliche und grundlegende Gegen- stände als Hintergrundwissen auch schulisches Interesse besitzen. Der Reiz der Eingangsprobleme beruht darin, da sie noch geometrisch-anschaulich interpretierbar sind (vgl. den A-Teil von Kapitell), andererseits aber auch in der gro en Fülle von elementar zugänglichen Beobachtungen, die schnell zu überraschenden Ver- mutungen fUhren. Beispiele für Sammlungen derartigen Materials - und dies auf völlig verschiedenen Ebenen - enthalten die A-Teile der beiden letzten Kapitel. Die Einsicht in die dargestellten Gegenstände verlangt weder spezielle Kenntnisse noc- auf dem hier gewählten Niveau - komplizierte Begriffsbildungen. Der Gegenstand selbst - die ganzen Zahlen und die z. T. merkwürdigen Beziehungen zwischen ihne- aber ist abstrakt. Deshalb können wir auch nur in den A-Teilen geometrische Vorstel- lungen heranziehen, die Beweise der leicht verständlichen Aussagen sind unanschaulich und müssen dem Anfanger gelegentlich "trickreich" erscheinen. Viele Schlüsse werden indirekt geruhrt, auch die vollständige Induktion wird oft bemüht. Bemerkenswert ist, da ein Prinzip - hier Darstellungssatz genannt (vgl. Satz 1.1 und 1. 7) - sich durch- gängig als starkes Hilfsmittel erweist. Seine didaktische Bedeutung wird insbesondere in Abschn. 3.1 beleuchtet.

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