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Differentialgeometrie

Differentialgeometrie

          
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About the Book

um das zur Lösung konkreter geometrischer Einzelfragen nötige Rüstzeug zu ver- mitteln, ist auch stets die koordinatenmäßige Behandlung berücksichtigt. Verzichtet wurde auf den Differentialformenkalkül, doch wird der Leser keine Schwierigkeiten haben, sich diese für die moderne Differentialgeometrie wichtige Methode auf der Grundlage des Buches selbst anzueignen. In einer Einführung sollten nach meiner Ansicht nicht verschiedene methodische Ansätze verwendet werden. Der gebotene Stoff geht in Umfang und Inhalt über eine etwa vierstündige Vor- lesung hinaus und gestattet den Anschluß eines weiterführenden Seminars. Die sorg- fältig angebrachten zahlreichen Rückverweisungen ermöglichen es, verschiedenartige Lehrgänge aus dem Inhalt zusammen zu stellen. Freunde konkreter Geometrie wer- den die Diskussionen im Anschluß an den induzierten Zusammenhang in KapitelS überschlagen, die Krümmungstheorien in Kapitel 6 nur für Hyperflächen behandeln und sich vor allem den 2-Flächen in Kapitel 7 zuwenden. Das andere Extrem ist die Auswahl eines Lehrgangs über differenzierbare Mannigfaltigkeiten und Riemannsche Geometrie; dabei kann man mit Kapitel 8 beginnen und die Rückverweisungen dazu verwenden, Beispiele für die eingeführten Begriffe bereitzustellen. Die Abschnitte 3. 3,4. 3,5. 5 und 6. 5 und das Kapitel 7 müssen nicht studiert werden, um jeweils nach- folgende Abschnitte verstehen zu können, der Abschnitt 3. 5 wird erst in 8. 8 benötigt. Der Abschnitt 8. 8 ist unter Verwendung einzelner Rückverweisungen auch ohne die vorhergehenden Abschnitte des Kapitels 8 lesbar. Jedem Kapitel ist eine kurze Inhaltsübersicht vorangestellt, und jeder Abschnitt schließt mit einer Sammlung von Aufgaben zur Einübung des behandelten Stoffes.


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Product Details
  • ISBN-13: 9783528038090
  • Publisher: Vieweg+teubner Verlag
  • Publisher Imprint: Vieweg+teubner Verlag
  • Height: 244 mm
  • No of Pages: 424
  • Series Title: German
  • Weight: 711 gr
  • ISBN-10: 3528038098
  • Publisher Date: 01 Jan 1981
  • Binding: Paperback
  • Language: German
  • Returnable: Y
  • Spine Width: 0 mm
  • Width: 157 mm


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