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Euclidean and Non-Euclidean Geometry An Analytic Approach

ISBN-10: 0521276357

ISBN-13: 9780521276351

Edition: 1986

Authors: Patrick J. Ryan

List price: $65.99
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Description:

This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical formulae. However, the book not only provides students with facts about and an understanding of the structure of the classical geometries, but also with an arsenal of computational techniques for geometrical investigations. The aim is to link classical and modern geometry to prepare students for further study and research in group theory, Lie groups, differential geometry, topology, and mathematical physics. The book is intended primarily for undergraduate mathematics students who have acquired the ability to formulate mathematical propositions precisely and to construct and understand mathematical arguments. Some familiarity with linear algebra and basic mathematical functions is assumed, though all the necessary background material is included in the appendices.
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Book details

List price: $65.99
Copyright year: 1986
Publisher: Cambridge University Press
Publication date: 6/27/1986
Binding: Paperback
Pages: 236
Size: 8.25" wide x 9.50" long x 0.50" tall
Weight: 1.254
Language: English

Preface
Notation and special symbols
Historical introduction
Plane Euclidean geometry
Affine transformations in the Euclidean plane
Finite groups of isometries of E2
Geometry on the sphere
The projective plane P2
Distance geometry on P2
The hyperbolic plane
Appendices
References
Index