240117 Geometrie (Gym/Ge) (V) (SoSe 2018)
Contents, comment
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In der Vorlesung entwicklen die Studierenden ein Verständnis der grundlegenden Argumente und Techniken der projektiven und affinen Geometrie sowie der grundlegenden Konzepte der Differentialgeometrie von Kurven und Flächen.
Etwas abweichend vom Modulhandbuch werden wir die affine Geometrie nicht getrennt von der projektiven Geometrie behandeln, sondern im ersten Teil der Veranstaltung beide gemeinsam auf axiomatischer Grundlage entwickeln. Der zweite Teil ist dann der sphärischen und hyperbolischen Geometrie gewidmet, der dritte Teil der elementaren Differentialgeometrie von Kurven und Flächen. Dabei beschränken wir uns meist auf zwei- und dreidimensionale Räume. Zur Veranschaulichung benutzen wir das Programm Geogebra.
Bibliography
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- A. Beutelspacher, U. Rosenbaum, Projektive Geometrie, Vieweg 1992. QA540 B569
- G. Kowol, Projektive Geometrie und Cayley-Klein-Geometrien der Ebene, Birkhäuser 2009. QA540 K88
- H. Lenz, Vorlesungen über projektive Geometrie, Leipzig 1965. QA540 L575
- W. Kühnel, Differentialgeometrie, Wiesbaden 2008. QA080+QA585 K95
- C. Bär, Elementare Differentialgeometrie, Berlin-New York 2010. QA080+QA585 B141
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| Frequency | Weekday | Time | Format / Place | Period |
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| Module | Course | Requirements | |
|---|---|---|---|
| 24-B-GEO_ver1 Geometrie (Gym/Ge) | Geometrie (Gym/Ge) | Graded examination
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