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Algebraische Topologie: Homologie Und Mannigfaltigkeiten by Wolfgang Lück

Algebraische Topologie: Homologie Und Mannigfaltigkeiten

by Wolfgang Lück
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Book cover type: Paperback
  • ISBN13: 9783528032180
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Publication Date:
  • Pages: 266
  • Original Price: EUR 37.37
  • Language: German
  • Edition: 2005
  • Item Weight: 450 grams
  • BISAC Subject(s): Geometry / General

Dies ist ein neues und modernes Lehrbuch über Topologie. Hauptgegenstand des Buches sind Homologie-, Kohomologietheorien und Mannigfaltigkeiten. Die ersten acht Kapitel geben eine Einführung in die "Algebraische Topologie" es werden Begriffe wie Homologie, CW-Komplexe, Produkte und Poincare Dualitäte eingeführt und deren Anwendungen diskutiert. In den davon unabhängigen Kapiteln 9 bis 13 werden Differentialformen und der Satz von Stokes auf Mannigfaltigkeiten behandelt. Diese Kapitel sind geeignet für eine Vorlesung "Analysis III" oder "Analysis auf Mannigfaltigkeiten". Die in den letzten beiden Kapiteln behandelte de Rham Kohomologie und der Satz von de Rham verbinden diese beiden Teile. Die Darstellung ist komprimiert und kommt schnell auf das Wesentliche, das Buch ist vielseitig in der Lehre einsetzbar.

Wolfgang Lück ist Professor am Fachbereich Mathematik und Informatik an der Westfälischen Wilhelms-Universität in Münster.

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