|
Geometry Group
Members
Projects
Lehre
Seminare
Archive
|
|
|
Geometry I
(Winter 2015)
|
|
This is a basic course of the
Berlin Mathematical School
and will be held in English. Depending on the audience one of the tutorials may be held in German.
News
- [8.5.]
-
Oral exams
will be offered on Friday 3 June and Friday 10 June.
Contents
This course is an introduction to different flavors of geometry.
Topics will include spherical, hyperbolic, projective, Möbius
and Lie geometry.
Literature
- Springborn, lecture notes from the 2007 version of this course at TU Berlin
- Euclid, Elements:
online with java or
Greek beside English text
- Prasolov & Tikhomirov, Geometry, TMM 200, Amer. Math. Soc.
- Hitchin, lecture notes on Projective Geometry: Chapters
1&2,
3,
4,
5
- Fuchs & Tabachnikov,
Mathematical Omnibus
- Klein, Vorlesungen über höhere Geometrie, GMW 22, Springer
- Blaschke, Projektive Geometrie, Birkhäuser
- Berger, Geometry I & II, Springer
- Audin, Geometry, Springer
- Coxeter, Non-Euclidean Geometry, Math. Assoc. Amer.
- Cannon, Floyd, Kenyon & Parry,
Hyperbolic Geometry, from Flavors of Geometry, MSRI
- Martin, The Foundations of Geometry and the Non-Euclidean Plane, UTM, Springer
- Henderson, Experiencing Geometry, Prentice Hall
Exercise sheets
- Sheet 1, due 27 October
- Sheet 2, due 3 November
- Sheet 3, due 10 November
- Sheet 4, due 17 November
- Sheet 5, due 24 November
- Sheet 6, due 1 December
- Sheet 7, due 8 December
- Sheet 8, due 15 December
- Sheet 9/10, due 12 January
- Sheet 11, due 19 January
- Sheet 12, due 26 January
- Sheet 13, due 2 February
Homework policy
-
To get a certificate for the tutorial, you need to satisfactorily complete 60% of the homework assignments.
-
The exercises are to be handed in in groups of two people. Depending on the number of students it might be possible to form groups of three.
-
The homework is due weekly at the beginning of the lecture on Tuesday. There will be NO possibility to hand in the exercises during or after the lecture!
Office Hours
|