Math 402 Summer 2011

Lessons on Models for non-Euclidean Geometry

Table of Contents
• Overview of the Lessons
• On the Geometry of the Complex Plane
• Lesson Z1 on the Complex Plane , see also Hvidsten Chapter 3, Section 3.5.
• Lesson Z2 on Moebius Transformations, see also Hvidsten, Chapter 8
• Moebius Transformation Lab .
• Lesson Z3 on the Cross Ratios
• The Poincare Model for non-Euclidean Geometry
• Lesson H1 on the Hyperbolic Group of isometries.
• Lesson H2 Hyperbolic Rulers and Distance in the Poincare Model.
• Lesson H3 on Hyperbolic Translations in the Poincare Model.
• Concerning Hvidsten's Exercises in Chapter 3.
• Concerning Hvidsten's Exercises in Chapter 8.
• Supplementary Lessons on the geometry of Moebius Transformations.