Non-Euclidean Geometry
Fifth Edition
5th Edition
Published on 15. December 1965
326 pages
978-1-4426-5320-7 (ISBN)
Description
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.
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.
Reviews / Votes
"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 GazetteMore details
Series
Edition
5th New edition
Language
English
Place of publication
Toronto
Canada
Target group
College/higher education
Professional and scholarly
Edition type
New edition
File size
10,70 MB
ISBN-13
978-1-4426-5320-7 (9781442653207)
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Schweitzer Classification
Other editions
Additional editions
Book
12/1965
5th Edition
University of Toronto Press
€51.00
Shipment within 10-20 days
Person
H.S.M. Coxeter (1907-2003) was Professor of Mathematics at the University of Toronto.
