Hyperbolic Geometry

J. W. Cannon, W. J. Floyd, R. Kenyon, and W. R. Parry
July 1996


These notes are intended as a relatively quick introduction to hyperbolic geometry. They review the wonderful history of non-Euclidean geometry. They give five different analytic models for and several combinatorial approximations to non-Euclidean geometry by means of which the reader can develop an intuition for the behavior of this geometry. They develop a number of the properties of this geometry which are particularly important in topology and group theory. They indicate some of the fundamental problems being approached by means of non-Euclidean geometry in topology and group theory.

compressed PostScript file (1,275 Kb) pdf file (856 Kb)

Back to the list of papers . Back to the home page of Bill Floyd