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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, NonEuclidean Geometry, Math. Assoc. Amer.
 Cannon, Floyd, Kenyon & Parry,
Hyperbolic Geometry, from Flavors of Geometry, MSRI
 Martin, The Foundations of Geometry and the NonEuclidean 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
