By Erich / Bergmann, Artur Baumgartner

ISBN-10: 3486721372

ISBN-13: 9783486721379

Zu jeder affinen Inzidenzebene, in welcher der große Satz von Desargues gilt (kurz: (D)-Ebene), wird mit Hilfe von Translationen und Streckungen ein zweidimensionaler Vektorraum über einem Schiefkörper hergeleitet. Anders als in der bisherigen Literatur werden diese Abbildungen nicht axiomatisch, sondern konstruktiv eingeführt. Dieser Weg ist anschaulich und verdeutlicht den geometrischen Hintergrund der algebraischen Strukturen. Außerdem sichert er von Anfang an die Existenz hinreichend vieler solcher Abbildungen.

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Affine Ebenen (German Edition) by Erich / Bergmann, Artur Baumgartner


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