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Algebraische Zahlentheorie by Jürgen Neukirch

Algebraische Zahlentheorie

by Jürgen Neukirch
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Book cover type: Paperback
  • ISBN13: 9783540375470
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 595
  • Original Price: EUR 56.065
  • Language: German
  • Edition: 1. Aufl. 1992.
  • Item Weight: 844 grams
  • BISAC Subject(s): Number Theory

Die algebraische Zahlentheorie ist eine der traditionsreichsten und gleichzeitig heute besonders aktuellen Grunddisziplinen der Mathematik. In dem vorliegenden Buch wird sie in einem ausf�hrlichen und weitgefa ten Rahmen abgehandelt, der sowohl die Grundlagen als auch ihre H�hepunkte enth�lt. Die Darstellung f�hrt den Leser in konkreter Weise in das Gebiet ein, l� t sich dabei von modernen Erkenntnissen �bergeordneter Natur leiten und ist in vielen Teilen neu. Der grundlegende erste Teil ist mit einigen neuen Aspekten versehen, wie etwa einer ausf�hrlichen Theorie der Ordnungen. �ber die Grundlagen hinaus enth�lt das Buch eine geometrische Neubegr�ndung der Theorie der algebraischen Zahlk�rper durch die Entwicklung einer "Riemann-Roch-Theorie" vom "Arakelovschen Standpunkt", die bis zu einem "Grothendieck-Riemann-Roch-Theorem" f�hrt, ferner lokale und globale Klassenk�rpertheorie und schlie lich eine Darstellung der Theorie der Theta- und L-Reihen, die die klassischen Arbeiten von Hecke in eine fa liche Form setzt.

Das Buch wendet sich an Studenten nach dem Vordiplom bzw. Bachelor. Dar�ber hinaus ist es dem Forscher als weiterweisendes Handbuch unentbehrlich.

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