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Vorlesungen Über Algebraische Geometrie: Geometrie Auf Einer Kurve Riemannsche Flächen Abelsche Integrale

Vorlesungen Über Algebraische Geometrie: Geometrie Auf Einer Kurve Riemannsche Flächen Abelsche Integrale

          
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About the Book

Als um die Mitte des vorigen Jahrhunderts durch das Zusammen- wirken von deutscher und fremdländischer Forschung die Geometrie einen mächtigen Aufschwung genommen hatte, dessen Höhepunkt die Ver- wendung der RIEMANNschen Theorie der ABELschen Funktionen in der Kurventheorie war, setzten Untersuchungen von CLEBSCH selbst, der diesen Weg gewiesen hatte, und Arbeiten jüngerer Mathematiker der Theorie der algebraischen Kurven neue Ziele, die weit über den damals bevorzugten projektiven Standpunkt hinauswiesen. Aus der Deutung des ABELSchen Theorems auf der Kurve entwickelte sich der Begriff der Punkt- gruppe und damit ein neuer Wissenszweig: die Geometrie auf der Kurve. Dieser Wendung folgend haben italienische Mathematiker - an der Hand gewisser neuer Begriffe und Bezeichnungen, sowie eines förder- lichen Rechenverfahrens mit Korrespondenzen - die Punktgruppen zu einem Hilfsmittel ausgebildet, das, in Verbindung mit dem SCHUBERT- scheu Abzählungskalkül für Gebilde in höheren Räumen, sowohl die Geometrie der algebraischen Kurven als namentlich die der Oberflächen in ungeahntem Maße gefördert hat. Und zwar war an der Ausgestaltung dieser Wissenszweige der Verfasser des vorliegenden Werkes selbst höchst erfolgreich beteiligt.


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Product Details
  • ISBN-13: 9783663152101
  • Publisher: Vieweg+teubner Verlag
  • Binding: Paperback
  • Height: 244 mm
  • No of Pages: 408
  • Series Title: German
  • Sub Title: Geometrie Auf Einer Kurve Riemannsche Flächen Abelsche Integrale
  • Width: 170 mm
  • ISBN-10: 3663152103
  • Publisher Date: 01 Jan 1921
  • Edition: Softcover Reprint of the Origi ed.
  • Language: German
  • Returnable: Y
  • Spine Width: 22 mm
  • Weight: 680 gr


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