Euclidean and Non-Euclidean Geometry: An Analytic Approach

Patrick J. Ryan

Published by Cambridge University Press, 2012
ISBN 10: 0511806205 / ISBN 13: 9780511806209
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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.

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.

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Title: Euclidean and Non-Euclidean Geometry: An ...
Publisher: Cambridge University Press
Publication Date: 2012
Binding: Printed Access Code
Book Condition: Used: Good

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Patrick J. Ryan
Published by Cambridge University Press (1986)
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Book Description Cambridge University Press, 1986. Paperback. Book Condition: Good. Item may show signs of shelf wear. Pages may include limited notes and highlighting. Includes supplemental or companion materials if applicable. Access codes may or may not work. Connecting readers since 1972. Customer service is our top priority. Bookseller Inventory # mon0001231727

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Book Description New York, Cambridge University Press, 1991. e 215 pages. softcover . Cover with minor wear. Spine and small part plates discoloured. Some small spots at paper edges. 20 x 23,5 cm. good condition. Bookseller Inventory # 30872

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Book Description Cambridge University Press, 1986. Book Condition: Good. 1st Edition. Ships from Reno, NV. Former Library book. Shows some signs of wear, and may have some markings on the inside. Bookseller Inventory # GRP93390112

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Book Description Cambridge University Press, 1986. Hardcover. Book Condition: Good. First Edition. Ex University of California, Berkeley library book with usual library markings. Binding is tight, text clean. No DJ. Bookseller Inventory # mon0000014971

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1986. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****. 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. Bookseller Inventory # AAV9780521276351

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Patrick J. Ryan
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (1986)
ISBN 10: 0521276357 ISBN 13: 9780521276351
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 1986. Paperback. Book Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. Bookseller Inventory # AAV9780521276351

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