Mathematics 138 - Classical Geometry; Fall 2000 |
Description of course |
An introduction to spherical, Euclidean and hyperbolic geometry in two and three dimensions, with an emphasis on the similarities and differences between these flavors of geometry. The most important tool in analyzing these geometries will be a study of their symmetries; we will see how this leads naturally to basic notions in group theory and topology. Topics to be covered might include classical tessellations, the Gauss-Bonnet theorem, scissors congruence, orbifolds, and fibered geometries.
Available for download |
Recommended texts for course |
Useful for extra reading |
last updated: 22nd December 2000 If you have any comments on the material in this page, or if you wish to comment on the material in the course, contact Danny Calegari via email The image to the right is Heaven and Hell (Circle limit IV) by Maurits C. Escher, the well-known 20th century Dutch artist. It depicts a tessellation of the hyperbolic plane by two kinds of tiles, angels and devils. The model of the hyperbolic plane used is the Poincaré (or conformal) model. |