Euclidean and Non-Euclidean Geometry: An Analytic Approach - Hardcover

Ryan, Patrick J.

Hardcover

ISBN 10: 0521256542 ISBN 13: 9780521256544

Publisher: Cambridge University Press, 1986

Synopsis

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.

About this title

Book Description

A thorough analysis of the fundamentals of plane geometry The reader is provided with an abundance of geometrical facts such as the classical results of plane Euclidean and non-Euclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition, trigonometrical formulas, etc.

About the Author

Patrick J. Ryan, S.J., received a Ph.D. in the comparative history of religion from Harvard University. He has lived and taught in Nigeria and Ghana for more than twenty years. He is currently the President of Loyola Jesuit College, a secondary school on the outskirts of Abuja, the Nigerian capital.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1986
• ISBN 10: 0521256542
• ISBN 13: 9780521256544
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 232