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Zahlentheorie by Hensel, Kurt

Zahlentheorie

by Kurt Hensel
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Book cover type: Paperback
  • ISBN13: 9783754340622
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Bod - Books on Demand
  • Publisher Imprint: Bod - Books on Demand
  • Publication Date:
  • Pages: 468
  • Original Price: GBP 33.5
  • Language: German
  • Edition: N/A
  • Item Weight: 554 grams
  • BISAC Subject(s): Number Theory

Als die Aufgabe der elementaren Zahlentheorie kann die Aufsuchung der Beziehungen bezeichnet werden, welche zwischen allen rationalen ganzen oder gebrochenen Zahlen m einerseits und einer beliebig angenommenen festen Grundzahl g andererseits bestehen. Man kann dieser Aufgabe in ihrem weitesten Umfange dadurch genügen, dass man alle diese Zahlen m in unendliche Reihen entwickelt. Nur durch die Betrachtung dieser vollständigen Reihen erhält man eine vollkommene Lösung unserer Aufgabe; beschränkt man sich dagegen auf gewisse Anfangsglieder derselben, wie dies gewöhnlich in der Zahlentheorie geschieht, so erhält man angenäherte Resultate, welche für bestimmte Zwecke natürlich von gro em Werte sein werden. Niemals aber können durch solche Annäherungen die Beziehungen der zu untersuchenden Zahlen m zu der Grundzahl g vollständig und genau ergründet werden. Aus diesem Grund hat der Autor in dem vorliegenden Werk die Untersuchung g-adischer Zahlen mit Vorbedacht in den Vordergrund der Betrachtung gestellt.

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