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