Geometry I: Analytic and Projective Geometry (Winter 2008)

This is a course of the Berlin Mathematical School held in English.

News

Please pick up your Übungschein at Frau Grub's office, MA 8-3.

Contents

Euclidean and non-euclidean geometry: spherical, hyperbolic, projective, Möbius, and Lie geometry. The continuation is Geometry II: Discrete Differential Geometry.

Exercise sheets

Geometry Java Applets

• Spherical Triangle Demo
• Stereographic Projection Demo
• Theorem of Desargues Demo (Java applet)
• Theorem of Pascal Demo (Java applet)

Homework policy

To get a certificate for the tutorial, you need to satisfactorily complete 50% of the homework assignments.

Literature

• V. V. Prasolov & V. M. Tikhomirov. Geometry. Translations of Mathematical Monographs, 200. American Mathematical Society, Providence, RI, 2001.
• Nigel Hitchin's lecture notes on Projective Geometry.
• Felix Klein. Vorlesungen über höhere Geometrie. Grundlehren der Mathematischen Wissenschaften, 22. Springer-Verlag, Berlin, 1968.
• Wilhelm Blaschke. Projektive Geometrie. Birkhäuser, Basel, 1954.
• Marcel Berger. Geometry. I & II. Springer-Verlag, Berlin, 1987.
• Michèle Audin. Geometry. Springer-Verlag, Berlin, 2003.
• H. S. M. Coxeter. Non-Euclidean Geometry. Mathematical Association of America, Washington, DC, 1998.

Office Hours