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Elementare Zahlentheorie by Gerhard Frey

Elementare Zahlentheorie

by Gerhard Frey
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Book cover type: Paperback
  • ISBN13: 9783528072568
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 122
  • Original Price: EUR 56.07
  • Language: German
  • Edition: 1984
  • Item Weight: 141 grams
  • BISAC Subject(s): Number Theory

Die folgende Einflihrung in die Zahlentheorie entstand aus Vorlesungen, die- ich an der Universitiit des Saarlandes gehalten habe; sie urnfa t ziernlich genau den Stoff, der im Verlauf eines Wintersemesters im Rahmen der Vorlesung tiber "Elementare Zahlentheorie" behandelt wurde. Diese Vorlesung hat zwei Ziele: Einerseits sollen moglichst viele Studenten angesprochen werden, denen die Vorlesung "mathematische Allgemeinbil- dung" auf dem Gebiet der Zahlentheorie vermitteln soli; die fiir die Vor- Ie sung notwendigen Voraussetzungen z.B. auf dem Gebiet der Algebra sollen also moglichst gering sein. Tatsiichlich sollte die Kenntnis der algebraischen Grundstrukturen und ihrer elementarsten Eigenschaften geniigen; wenn an einigen Stellen etwas weitergehende Vberlegungen erforderlich sind, wird ver- sucht, diese an Ort und Stelle bereitzustellen. Der Abschnitt tiber abelsche Gruppen kann als Beispiel dazu dienen. Natiirlich mu man fiir diese Vor- gehen auch bezahlen, oft ersetzt das Rechnen zu Fu den eigentlich viel ein- leuchtenderen strukturellen Beweis, die lastigen Nachrechnungen bei Ver- kntipfungen von Restklassen sind ein deutliches Beispiel damr. Andererseits soli die Vorlesung interessierte Studenten auf die Algebraische Zahlentheorie vorbereiten; das Erreichen dieses Ziels sollte durch die Stoff- auswahl untersttitzt werden.

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