Non-Euclidean Geometry

Fifth Edition

H.S.M. Coxeter

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Paperback

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English

University of Toronto Press
15 December 1965

Non-Euclidean geometry

Series: Heritage

The name non-Euclidean was used by Gauss to describe a system of geometry which differs from Euclid's in its properties of parallelism. Such a system was developed independently by Bolyai in Hungary and Lobatschewsky in Russia, about 120 years ago. Another system, differing more radically from Euclid's, was suggested later by Riemann in Germany and Cayley in England. The subject was unified in 1871 by Klein, who gave the names of parabolic, hyperbolic, and elliptic to the respective systems of Euclid-Bolyai-Lobatschewsky, and Riemann-Cayley. Since then, a vast literature has accumulated.

The Fifth edition adds a new chapter, which includes a description of the two families of 'mid-lines' between two given lines, an elementary derivation of the basic formulae of spherical trigonometry and hyperbolic trigonometry, a computation of the Gaussian curvature of the elliptic and hyperbolic planes, and a proof of Schlafli's remarkable formula for the differential of the volume of a tetrahedron.

By: H.S.M. Coxeter
Imprint: University of Toronto Press
Country of Publication: Canada
Edition: 5th edition
Dimensions: Height: 229mm, Width: 152mm, Spine: 20mm
Weight: 440g
ISBN: 9781442639454
ISBN 10: 1442639458
Series: Heritage
Pages: 326
Publication Date: 15 December 1965
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

H.S.M. Coxeter (1907-2003) was Professor of Mathematics at the University of Toronto.

Reviews for Non-Euclidean Geometry: Fifth Edition

Professor Coxeter's textbook presents the fundamental principles in a clear, readable manner. It should be the standard textbook on non-Euclidean geometry for a long time to come. - Mathematical Gazette