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Elementare Zahlentheorie by Friedhelm Padberg, Andreas Büchter

Elementare Zahlentheorie

by Friedhelm Padberg , Andreas Büchter
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Book cover type: Paperback
  • ISBN13: 9783662568071
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 285
  • Original Price: EUR 35.505
  • Language: German
  • Edition: 4., Uberarb. U.
  • Item Weight: 486 grams
  • BISAC Subject(s): Algebra / General

Diese Einf�hrung in die Elementare Zahlentheorie wendet sich an Studierende sowie an Lehrerinnen und Lehrer aller Schulformen mit dem Fach Mathematik. Sie ist eine grundlegend �berarbeitete und aktualisierte Neuauflage des seit �ber 45 Jahren erprobten und weit verbreiteten Klassikers, erstmals nun von einem Autorenteam geschrieben. Folgende Punkte sind f�r diese Neuauflage charakteristisch:

  • Das erste Kapitel ist ein umfangreicher Schnupperkurs, der sprachlich bewusst auf dem Niveau der Schule dargestellt ist und zur aktiven Auseinandersetzung mit der Zahlentheorie anregen m�chte.
  • Weit �ber 200 Aufgaben mit L�sungshinweisen erm�glichen eine selbstst�ndige Erarbeitung vieler Fragestellungen.
  • Grundlegende Begriffe werden in diesem Band sorgf�ltig erarbeitet.
  • Eine Vielzahl an anschaulichen Beispielen dient der Motivierung oder Verdeutlichung von S�tzen und Definitionen.
  • Die Verst�ndlichkeit und gute Lesbarkeit steht bei allen Beweisen im Vordergrund.
  • Aktuelle Internetadressen vermitteln Informationen �ber neueste Ergebnisse oder Direktzugriffe auf erg�nzende Literatur.
  • Auf der Grundlage der zuvor erarbeiteten Zahlentheorie steht in den Kapiteln 7 und 8 die Entwicklung eines tieferen fachlichen Hintergrundes zu zentralen Themen der SI und in den Kapiteln 9 und 10 ein Blick auf aktuelle, vielseitige Anwendungen im Mittelpunkt.
  • Das Buch endet mit einem Ausblick auf die Theorie der quadratischen Reste, den Ausgangspunkt der modernen Zahlentheorie.
  • Die Auswahl der Inhalte erfolgt in diesem Band stets unter dem zentralen Gesichtspunkt, notwendiges mathematisches Hintergrundwissen f�r einen guten Mathematikunterricht bereitzustellen, um so zu einem fundierten Berufswissen der (zuk�nftigen) Lehrkr�fte f�r Mathematik beizutragen.

Prof. Dr. Friedhelm Padberg, Fakultät für Mathematik, Universität Bielefeld

Prof. Dr. Andreas Büchter, Fakultät für Mathematik, Universität Duisburg-Essen

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