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Differentialgeometrie Und Homogene Räume by Kai Köhler

Differentialgeometrie Und Homogene Räume

by Kai Köhler
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Book cover type: Paperback
  • ISBN13: 9783662607374
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 283
  • Original Price: EUR 30.83
  • Language: German
  • Edition: 2., Vollst. Ube
  • Item Weight: 477 grams
  • BISAC Subject(s): Geometry / Differential

Dieses Buch stellt die wichtigsten Grundlagen der Riemannschen Geometrie mit allen notwendigen Zwischenresultaten sowie die zentrale Beispielklasse der homogenen R�ume ausf�hrlich dar. Lie-Gruppen sowie Symmetrische R�ume, d.h. R�ume, die an jedem Punkt eine Punktspiegelung erlauben, werden als Spezialf�lle umfangreich behandelt. Im letzten Kapitel werden als eine wichtige Anwendung der Riemannschen Geometrie einige Grundlagen der allgemeinen Relativit�tstheorie axiomatisch deduziert.

Etliche Grafiken erm�glichen es dem Leser, bildliche Vorstellungen sowie eine gute Intuition f�r die Sachverhalte zu entwickeln. Dar�ber hinaus kann das Verst�ndnis anhand zahlreicher �bungsaufgaben am Ende jedes Abschnitts �berpr�ft werden. Zu vielen davon sind im Anhang L�sungshinweise enthalten.

Das Buch entspricht in seinem Umfang einer zweisemestrigen Vorlesung. Es richtet sich an Studierende der Mathematik im fortgeschrittenen Bachelor- sowie im Masterstudium und Studierende der (theoretischen) Physik. Vorausgesetzt werden Resultate aus den �blichen ersten drei Semestern des mathematischen Grundstudiums.

F�r die vorliegende 2. Auflage wurde das Buch vollst�ndig �berarbeitet und an vielen Stellen erg�nzt.

Prof. Dr. Kai Köhler ist am Mathematischen Institut der Heinrich-Heine-Universität in Düsseldorf tätig. Sein Arbeitsgebiet liegt im Bereich Geometrie, insbesondere Globale Analysis und Arithmetische Algebraische Geometrie.

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