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Einführung in Die Algebraische Geometrie by Bartel Leendert Van Der Waerden

Einführung in Die Algebraische Geometrie

by Bartel Leendert Van Der Waerden
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Book cover type: Paperback
  • ISBN13: 9783642864995
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 282
  • Original Price: EUR 56.07
  • Language: German
  • Edition: 2. Aufl. 1973.
  • Item Weight: 422 grams
  • BISAC Subject(s): Geometry / Algebraic

den ich zuerst am Internationalen Mathematikerkongre in Nice 1970 vorgetragen habe und der dann in erweiterter Form im Archive for History of Science 7 (1971) publiziert wurde. Zürich, Februar 1973 B. L. V AN DER W AERDEN Inhaltsverzeichnis. Seite Einleitung . . . . 1 Erstes Kapitel. Projektive Geometrie des n-dimensionalen Raumes. 1. Der projektive Raum Sn und seine linearen Teilräume . . 3 2. Die projektiven Verknüpfungssätze . . . . . . . . . . . 6 3. Das Dualitätsprinzip. Weitere Begriffe. Doppelverhältnisse 7 4. Mehrfach projektive Räume. Der affine Raum. . . . . . 10 5. Projektive Transformationen . . . . . . . . . . . . . . 13 6. Ausgeartete Projektivitäten. Klassifikation der projektiven Tra- formationen. . . . . . . . . . . . . . . . . . 16 7. PLtlcKERsche Sm-Koordinaten. . . . . . . . . . . . . . . . 19 8. Korrelationen, Nullsysteme und lineare Komplexe . . . . . . 24 9. Quadriken in Sr und die auf ihnen liegenden linearen Räume. 29 10. Abbildung von Hyperflächen auf Punkte. Lineare Scharen 35 11. Kubische Raumkurven. . . . . . . . . . . . . . . . . . . 39 Zweites Kapitel. Algebraische Funktionen. 12. Begriff und einfachste Eigenschaften der algebraischen Funktionen. . 44 13. Die Werte der algebraischen Funktionen. Stetigkeit und Differenzier- barkeit. . . . . . . . . . . . . . . . . . . . . . . . 47 . . . . . 14. Reihenentwicklungen für algebraische Funktionen einer Veränderlichen 50 15. Elimination. . . . . . . . . . . . . . . . . . . . 55 . . . . Drittes Kapitel. Ebene algebraische Kurven.

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