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Der Ricci-Kalkül

Der Ricci-Kalkül


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About the Book

Bei der Herausgabe dieses Buches möchte ich an dieser Stelle Herrn L. Berwald in Prag, Herrn D. J. Struik in Delft und Herrn R. Weitzenböck in Blaricum, die mich. durch das Mitlesen der Korrek- turen sowie durch viele wichtige Bemerkungen aufs wirksamste unter- stützt haben, meinen verbindlichsten Dank aussprechen. Einen freundschaftlichen Gruß dem mathematischen Kreise in Hamburg, wo es mir vergönnt war, im Sommersemester dieses Jahres über die mehrdimensionale Affingeometrie zu lesen. Manche anregende Bemerkung zum vierten Abschnitt brachte mir diese schöne Zeit, die mir immer in freudiger Erinnerung bleiben wird. Der Verlagsbuchhandlung Julius Springer meinen besonderen Dank für die sorgfältige Behandlung der Korrekturen, "die mir die sauere Arbeit des Korrigierens fast zu einer Freude machte. Delft, im Dezember 1923. J. A. Schouten. Inhaltsverzeichnis. Seite Einleitung . . . 1 1. Der algebraische Teil des Kalküls. § 1. Die allgemeine Mannigfaltigkeit X" . . 8 § 2. Der Begriff der übertragung . - . . . . 9 § 3. Die euklidisch affine Mannigfaltigkeit E" . 9 § 4. Kontravariante und kovariante Vektoren. 12 § 5. Kontravariante und kovariante Bivektoren, Trivektoren usw. 17 § 6. Geometrische Darstellung kontravarianter und kovarianter p-Vektoren bei Einschränkung der Gruppe 20 § 7. Allgemeine Größen . . . . ". . . . . 23 § 8. Die überschiebungen . . . . . . . . . 28 § 9. Geometrische Darstellung der Tensoren 32 § 10. Größen zweiten Grades und lineare Transformationen 33 § 11. Die Einführung einer Maßbestimmung in der E.. . . 36 § 12. Die Fundamentaltensoren . . . . - . . . . . . . . 38 § 13. Geometrische Darstellung alternierender Größen bei der orthogonalen und rotationalen. Gruppe. Metrische Eigenschaften . . . . . . . 41 .


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Product Details
  • ISBN-13: 9783662065464
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Edition: 1924 ed.
  • Language: German
  • Returnable: Y
  • Spine Width: 18 mm
  • Weight: 517 gr
  • ISBN-10: 3662065460
  • Publisher Date: 16 Dec 2012
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 312
  • Series Title: Grundlehren Der Mathematischen Wissenschaften
  • Sub Title: Eine Einführung in Die Neueren Methoden Und Probleme Der Mehrdimensionalen Differentialgeometrie
  • Width: 156 mm


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