Videos, and Games
Analytic and Projective Geometry
This is a course of the
Berlin Mathematical School
held in English.
Exercise 11.1. The vectors in the given equation must be normalized to satisfy them, i.e. time-like vectors should have scalar product -1 and space-like vectors +1 to satisfy the distance formulas.
There is an article by Charles A. Rupp "Stereographic Projection of a Quadric", American Mathematical Monthly, Vol. 35, No. 8 (Oct. 1928) on Brianchon and Pascal Theorems on a quadric. I have a copy of the article in my office for those who are interested.
Ex. 9.3. Due next week.
Ex. 9.1. Removed some imprecision. See updated version below.
Merry Christmas and a Happy New Year!
Error in ex. 7.3:
The order of the points has to be changed from cr(Q,R,A,B) to cr(Q,A,R,B), see corrected sheet below. Sorry. If you need more time to solve the exercise now, you may hand it in with the next sheet.
- No tutorials this week (1./2.12.) due to illness. Nevertheless there is an exercise sheet.
- No lecture today.
I created a blog for
the geometry course. Please read, subscribe, comment, or write stuff you are thinking about concerning
the geometry class. I started it today because of a nice and lively discussion in my tutorial about
projective transformations and cross-ratio.
- The rooms for thursdays tutorial changed and is from now on in MA 642
- Finally the rooms are fixed. See above schedule. Sorry for the inconvinience.
- Lecture starts on monday 18.10. at 14h at MA 650.
Euclidean and non-euclidean geometry: spherical, hyperbolic,
projective, Möbius, and Lie geometry. The continuation is
Geometry II: Discrete Differential Geometry.
To get a certificate for the tutorial, you need to satisfactorily complete 50% of the homework assignments.
Lecture notes by Boris Springborn
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.