Table of Contents

Introduction; 1. Quadratic Forms; 2. Geometries; 3. Hyperbolic Plane; 4. Fuchsian Groups; 5. Fundamental Domains; 6. Coverings; 7. Poincare's Theorem; 8. Hyperbolic 3-Space; Appendix: Axioms for Plane Geometry.

Promotional Information

Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics