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Eine Vorlesung Über Differentialgeometrie

Eine Vorlesung Über Differentialgeometrie

          
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About the Book

Das vorliegende Buch ist aus einer 1-semestrigen Vorlesung iiber DifTerentialgeometrie entstanden, die ich wiederholt in Gottingen, Mainz und Bonn gehalten habe. Mit dieser Vorlesung verfolgte ich das Ziel, den Studenten mittlerer Semester, die die Anfangervorlesungen gemeistert haben, eine Einfiihrung in die klassische Differentialgeometrie der Kurven und FIachen anzubieten und damit eine Alternative zu offerieren zu anderen Vorlesungen fiir mittlere Semester, wie etwa Funktionen theorie, Hohere Algebra oder Algebraische Topologie. Fiir den groBten Teil der Vorlesung wird nichts weiter als eine griindliche Kenntnis der Vorlesung iiber Analysis sowie die Kennt nis der reellen linearen Algebra und der euklidischen Geometrie vorausgesetzt. Nur in spiiteren Kapiteln, wo ich auch globale Fragen behandle, ist eine gewisse Vertrautheit mit der Topologie kompakter Fliichen von Nutzen; dabei wird aber nichts benutzt, was sich nicht in dem klassischen Topologie-Lehrbuch von Seifert und Threlfall findet. Fiir eine Obersicht iiber den Inhalt der Vorlesung verweise ich auf das Verzeichnis. Natiirlich muBte ich eine Auswahl treffen aus der Fiille des Materials, das fiir eine solche Vorlesung zur Verfiigung steht. Fiir mich ergab es sich ganz von seIber, daB da bei solche Gegenstiinde bevorzugt wurden, die der 2-dimensionalen riemannschen Geometrie zuzurechnen sind. Dennoch denke ich, daB meine Vorlesung eine brauchbare Grundlage fiir das Verstiindnis aller Teilgebiete der Differentialgeometrie liefert."


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Product Details
  • ISBN-13: 9783540062530
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 203 mm
  • No of Pages: 138
  • Series Title: Heidelberger Taschenbücher
  • Weight: 163 gr
  • ISBN-10: 354006253X
  • Publisher Date: 14 Sep 1973
  • Binding: Paperback
  • Language: German
  • Returnable: Y
  • Spine Width: 8 mm
  • Width: 133 mm


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