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Analytische Geometrie by F. Neiss

Analytische Geometrie

by F. Neiss
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Book cover type: Paperback
  • ISBN13: 9783540014874
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 168
  • Original Price: USD 44.99
  • Language: German
  • Edition: N/A
  • Item Weight: 254 grams
  • BISAC Subject(s): General

Das vorliegende Buch ist in gewisser Hinsicht eine Fortsetzung meines im gleichen Verlag erschienenen Buches iiber "Determinanten und Matrizen" und setzt den dart behandelten Stoff als bekannt voraus. Die Hinweise unter der Abkiirzung "Det. " beziehen sich auf die dritte Auflage 1948. Es ist als Lehrbuch fUr Studierende gedacht, das neben den Vorlesungen auch zum Selbststudium benutzt werden kann. Wenn hier ein verhaltnismaBig umfangreicher Stoff in dieser Kiirze dargesteUt werden konnte, so war das nur m6glich, weil die Theorie der Determinanten und Matrizen ausgiebig gebraucht wurde, ohne dieses HiIfsmittel selbst zu entwickeln. Die . Iineare Algebra verdient als selb- standige Disziplin einen breiteren Raum und soUte meines Erachtens nicht am Rande eines Lehrbuches fiir analytische Geometrie behandelt werden, Wie das Inhaltsverzeichnis zeigt, erscheinen manche Uberschriften zweimal (z. B. Pol und Polare). Denn neben der DarsteUung in aUge- meinerem, gr6Berem Zusammenhang soUte die element are Betrachtungs- weise nicht unbeachtet bleiben, die mit Riicksicht auf den Unterricht in der Schule fUr den zukiinftigen Lehrer von Interesse sein diirfte. Es ist deshalb ein einfiihrendes Kapitel vorangesteIIt. Dieses schlieBt un- mittelbar an die Varbildung der Studierenden an, benutzt das Rechnen mit Determinanten und Matrizen noch nicht und zeigt zugleich, wie weit man noch bequem ohne dieses Hilfsmittel kommen kann. Dem KLEINschen Erlanger Programm entsprechend ist metrische und projektive Geometrie klar unterschieden und der projektive Ge- halt elementarer Satze hervorgehoben.

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