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Euclidean and Non-Euclidean Geometry : An Analytic Approach by Patrick J. Ryan (1986, Trade Paperback)

Brenham Book Company (455)

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Euclidean and Non-Euclidean Geometry: An Analytic Approach

About this product

Product Identifiers

PublisherCambridge University Press

ISBN-100521276357

ISBN-139780521276351

eBay Product ID (ePID)671664

Product Key Features

Number of Pages236 Pages

LanguageEnglish

Publication NameEuclidean and Non-Euclidean Geometry : an Analytic Approach

Publication Year1986

SubjectGeometry / General, Topology

TypeTextbook

Subject AreaMathematics

AuthorPatrick J. Ryan

FormatTrade Paperback

Dimensions

Item Height0.7 in

Item Weight15.9 Oz

Item Length9.2 in

Item Width8 in

Additional Product Features

Intended AudienceCollege Audience

LCCN85-017146

Dewey Edition19

Reviews"An elegant geometry text...the whole very crisply printed and illustrated. Good exercises and helpful references." SciTech Book News, "In his introduction the author expresses the hope that he can instill good working attitudes that will help students go on to research in group theory, Lie groups, differential geometry and topology. The naturalness and sophistication of his development go far to fulfilling his aim...The book is produced to a very high standard. Both graphics and text are exceptionally clear." The Mathematical Gazette, "The exposition is lucid; the body of the text and exercises are thoughtfully organized...The book should be brought to the attention of instructors wishing for a fresh outlook..." American Scientist

IllustratedYes

Dewey Decimal516

Table Of ContentPreface; 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.

SynopsisThis book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic., 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.

LC Classification NumberQA445 .R93 1986