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Elementare Differentialgeometrie: Gekrümmte Kurven Und Flächen by Christian Bär

Elementare Differentialgeometrie: Gekrümmte Kurven Und Flächen

by Christian Bär
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Book cover type: Paperback
  • ISBN13: 9783111352749
  • Binding: Paperback
  • Subject: N/A
  • Publisher: de Gruyter
  • Publisher Imprint: de Gruyter
  • Publication Date:
  • Pages: 366
  • Original Price: USD 58.99
  • Language: German
  • Edition: N/A
  • Item Weight: 581 grams
  • BISAC Subject(s): Geometry / Differential, Geometry / Non-Euclidean, and Study & Teaching

Die dritte Auflage des bewährten Lehrbuchs bietet, vollständig überarbeitet und aktualisiert, eine fundierte und zugängliche Einführung in die Differentialgeometrie von Kurven und Flächen.

Beginnend mit klassischer euklidischer Geometrie deckt das Lehrbuch wichtige Themen wie Kurven- und Flächentheorie, die zentrale Bedeutung der Krümmung sowie analytische und topologische Aspekte ab. Auch Minimalflächen, hyperbolische Geometrie, Anwendungen in der Kartografie und der Satz von Gau -Bonnet werden behandelt. Die mathematische Darstellung ist so gewählt, dass sich das Buch als Einstieg in die abstrakte riemannsche Geometrie eignet.

Eine der wichtigsten Erweiterungen in dieser Auflage ist die verbesserte Darstellung der Konstruktion von Triangulierungen. Durch Illustrationen und verständlichere Erklärungen wird nun ein noch tieferes und intuitiveres Verständnis der Materie ermöglicht.

Zu jedem Kapitel finden sich sorgfältig ausgewählte Übungsaufgaben, die das Gelernte vertiefen und anwenden lassen. Die meisten Aufgaben sind mit ausführlichen Lösungshinweisen versehen, die helfen, die Konzepte selbstständig zu meistern und das Wissen zu festigen.

Christian Bär, University of Potsdam, Germany.

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