Geometry 2
Math 395:02 - Spring 2001
General Information
This course deals with several special topics in geometry. Prior exposure to geometry through a course at the level of 435 is useful but not absolutely necessary.Prerequisites
Required: CALC3 and 01:640:250.Reccommended: 01:640:435
Textbooks
- Robin Hartshorne, Euclid and Beyond, Springer-Verlag, New York (text), 2000 (420 pp.); (ISBN 0-387-98650-2).
- Euclid, The Thirteen Books of Euclid's Elements, Vol. I, Dover Publications. (ISBN 0-486-60088-2)
Description
In this second course on geometry we will consider several important problems, including- Axioms of geometry: from Euclid to Hilbert;
- Regular (platonic) solids;
- Geometrical constructions with compass and ruler, including Gauss'construction of the regular 17-gon;
- Non-Euclidean geometries;
- Multidimensional geometry.
Last updated: November 13, 2000