Euclidean and Non-Euclidean Geometry
An Analytic Approach
By (author) Patrick J. Ryan
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Euclidean and Non-Euclidean Geometry by Patrick J. Ryan
Book DescriptionThis 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 DetailsISBN: 9780521276351
(234mm x 156mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 27-Jun-1986
Country of Publication: United Kingdom
Books By Author Patrick J. Ryan
Euclidean and Non-Euclidean Geometry International Student Edition, Paperback (September 2009)
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
Thoughts of St. Ignatius Loyola for Every Day of the Year, Hardback (September 2006)View all books by Patrick J. Ryan
Informing Jesuit education, ministry, and training in communities around the world, the author offers a practical vision - of engaged, responsible, discerning men and women striving to find God in all things - that resonates in this age of transition.
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