MATH-UA.0270 / V63.0270: Transformations and Geometry
| Term: | Fall 2011 |
| Lectures: | TR 3:30 P.M.- 4:45 P.M. Location TBD |
| Recitations: | |
| Instructor: | Prof. John Head |
| Office: | TBA |
| Office hours: | TBA |
| Phone: | TBA |
| Email: | TBA |
Texts
Modern Geometries, Non-Euclidean, Projective and Discrete
Michael Henle
Second, Prentice Hall, 0-13-032313-6
Geometry with an Introduction to Cosmic Topology
Michael P. Hitchman
Jones & Bartlett, 978-0-7637-5457-0
Topics
- Introduction to Geometry
- Euclidean Plane and Complex Numbers
- Euclidean Isometries, Groups of
Isometries, Classification of Isometries
- Mobius Plane, Point at Infinity
- Mobius Group of Transformations, Invariants, Cross-ratio
- Mobius Geometry
- Poincare half-plane and disc
- Hyberbolic Geometry, Classification of Isometries
- Area Trigonometry