Previous course Spherical
Geometry 2012
News
(updated 7.4.2014)
Erasmus exchange teacher, professor Eric Lehman, gives a course on Hyperbolic Geometry in February and March-April.
Schedule in February
Tuesday 11.2. at 14-16 M106
Wednesday 12.2. at 12-14 M107
Thursday 13.2. at 14-16 M101
Tuesday 18.2. at 10-12 BOREALIS
- BOR102 computer lab
Wednesday 19.2. at 12-14 M107
Thursday 20.2. at 14-16 M101
Schelude in March-April
1) Tuesday 25.3.2014 klo 16-18
M107
2) Wednesday 26.3.2014 klo 12-14
M303
3) Thursday 27.2.2014 klo 14-16
M303
4) Tuesday 1.4.2014 klo 14-16 MP102
ATK-LUOKKA
5) Wednesday 2.4.2014 klo
12-14 M303
6) Thursday 3.4.2014 klo 14-16
M304 ATK-LUOKKA
Introduction
The course follows the chapter
called "Non-Euclidean Geometry" (link below) in the book
"Geometry" by David A. Brannan,
Matthew F. Esplen and Jeremy J. Gray
and gives alternative proofs of
some theorems in a more geometric and less computational presentation.
In the two usual models of Hyperbolic
Geometry the lines are parts of Euclidean circles
orthogonal to a border wich is
a circle or a line.
Therefore the course begins with
some complements in Euclidean and Conformal Geometry about circles, inversion
and circle bundles.
These tools give a geometric insight
in basic concepts in Hyperbolic Geometry such as
Möbius transformations, parallelism
and ultraparallelism, orthogonality, asymptotic triangles and area defect.
Hyperbolic Geometry might be useful,
but most of all, it is beautiful !
http://wanda.uef.fi/matematiikka/kurssit/HyperbolicGeometry/BEG_Geometry.pdf
Information: Lehman or Pesonen
eric.lehman {cat tail} unicaen.fr
martti.pesonen {cat tail} uef.fi