Euclidean and Non-Euclidean Geometry: An Analytic Approach

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9780521276351: Euclidean and Non-Euclidean Geometry: An Analytic Approach

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 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.

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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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Patrick J. Ryan
Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (1986)
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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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Book Description Cambridge University Press, 1986. PAP. Book Condition: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # LQ-9780521276351

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Book Description Cambridge University Press, 1986. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9780521276351

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Book Description Cambridge Univ Pr, 1986. Paperback. Book Condition: Brand New. 240 pages. 9.50x8.25x0.50 inches. In Stock. Bookseller Inventory # __0521276357

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Book Description 1986. Paperback. Book Condition: NEW. 9780521276351 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Bookseller Inventory # HTANDREE0452295

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Book Description Cambridge University Press, 2017. Paperback. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # 0521276357

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Book Description Cambridge University Press, 1986. Paperback. Book Condition: New. Bookseller Inventory # INGM9780521276351

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