Euclidean and non-Euclidean geometry : an analytical approach / Patrick J. Ryan.
By: Ryan, Patrick J
.
Material type: 
BookPublisher: Cambridge : Cambridge University Press, 1986Description: xvii, 215 p. : ill ; 25 cm. + pbk.ISBN: 0521256542; 0521276357 .Subject(s): Geometry | Geometry, Non-EuclideanDDC classification: 516 | Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
| General Lending | MTU Bishopstown Library Lending | 516 (Browse shelf(Opens below)) | 1 | Available | 00018895 |
Enhanced descriptions from Syndetics:
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.
Includes bibliographical references (pages 210-211) and index.
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.
Table of contents provided by Syndetics
- Preface
- Notation and special symbols
- Historical introduction
- 1 Plane Euclidean geometry
- 2 Affine transformations in the Euclidean plane
- 3 Finite groups of isometries of E2
- 4 Geometry on the sphere
- 5 The projective plane P2
- 6 Distance geometry on P2
- 7 The hyperbolic plane
- Appendices
- References
- Index