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Zahlentheorie by Heinz Luneburg

Zahlentheorie

by Heinz Luneburg
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Book cover type: Paperback
  • ISBN13: 9783486596809
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Walter de Gruyter
  • Publisher Imprint: Walter de Gruyter
  • Publication Date:
  • Pages: 159
  • Original Price: GBP 50.0
  • Language: German
  • Edition: N/A
  • Item Weight: 268 grams
  • BISAC Subject(s): General

Neue und überraschende Einblicke

Neue Sichtweisen und Erkenntnisse zur Zahlentheorie und zu quadratischen Erweiterungen bietet dieses Lehrwerk aus dem Nachlass des begnadeten Pädagogen Heinz Lüneburg.
Es eignet sich vor allem für fortgeschrittene Leser, die einen tieferen Einblick in die Zahlentheorie erhalten möchten, und ist daher allen, die diese Theorie einmal unter einem anderen Gesichtspunkt betrachten möchten, wärmstens zu empfehlen.

Die Zahlentheorie aus den Büchern des Euklid wird in moderner Sprache dargestellt und mit der dedekindschen Konstruktion der natürlichen Zahlen verbunden. Dadurch können wesentliche Ergebnisse ohne den Satz von der eindeutigen Primfaktorzerlegung bewiesen werden. Die Theorie der Kettenbrüche wird verwendet, um tiefere Kenntnisse der Struktur der Ringe der ganzen algebraischen Zahlen in quadratischen Erweiterungen der rationalen Zahlen zu gewinnen. Auch damit beschäftigt sich das Buch eingehend.
Unter anderem widmet sich Lüneburg der Division mit Rest - einem Thema, das in anderen Büchern kaum aufgegriffen wird.

"Zahlentheorie" wird herausgegeben von Prof. Dr. Theo Grundhöfer, apl. Prof. Dr. Huberta Lausch sowie Prof. Dr. Karl Strambach.

Der Titel richtet sich an Absolventen und Studierende höherer Semester der Mathematik.

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