The Poincaré half-plane

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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. Topics include Euclidean rigid motions, inversions, Euclidean versus hyperbolic geometry, hyperbolic area, complex numbers and rigid motions, spherical trigonometry and elliptic geometry, differential geometry and Gaussian curvature, and the Beltrami-Klein model. Many exercises follow each chapter. Annotation c. Book News, Inc., Portland, OR (booknews.com)