Research Catalog

Title

The Poincaré half-plane : a gateway to modern geometry / Saul Stahl.

Author

Stahl, Saul.

Publication

Boston : Jones and Bartlett Publishers, ©1993.

Items in the Library & Off-site

Details

Description

xiii, 298 pages : illustrations; 25 cm.

Summary

In the 1880s, over fifty years after the discovery of the hyperbolic plane, Poincare pointed out that this plane provides a very useful context for describing the properties of the solutions of an important class of differential equations.

Series Statement

Jones and Bartlett books in mathematics

Uniform Title

Jones and Bartlett books in mathematics.

Subject

• Geometry, Non-Euclidean
• Géométrie non-euclidienne
• Poincaré-Halbebene
• Géométrie hyperbolique
• Geometry, Non-Euclidean
• Geometry, Non-Euclidian

Bibliography (note)

• Includes bibliographical references (p. 293-294) and index.

Contents

Euclidean geometry -- Euclidean rigid motions -- Inversions -- The hyperbolic plane -- Euclidean versus hyperbolic geometry -- The angles of the hyperbolic triangle -- Hyperbolic area -- The trigonometry of the hyperbolic triangle -- Complex numbers and rigid motions -- Absolute geometry and the angles of the triangle -- Spherical trigonometry and elliptic geometry -- Differential geometry and Gaussian curvature -- The cross ratio and the unit disk model -- The Beltrami-Klein model -- a brief history of non-Euclidean geometry -- Spheres and horospheres -- Appendix: Proofs of some of Euclid's propositions.

ISBN

• 086720298X
• 9780867202984

LCCN

92035850

OCLC

• ocm26854265
• 26854265
• SCSB-1989594

Owning Institutions

Princeton University Library