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OverviewOne of the first college-level texts for elementary courses in non-Euclidean geometry, this concise, readable volume is geared toward students familiar with calculus. A full treatment of the historical background explores the centuries-long efforts to prove Euclid's parallel postulate and their triumphant conclusion. Numerous original exercises form an integral part of the book.Topics include hyperbolic plane geometry and hyperbolic plane trigonometry, applications of calculus to the solutions of some problems in hyperbolic geometry, elliptic plane geometry and trigonometry, and the consistency of the non-Euclidean geometries. Extensive appendixes offer background information on the foundation of Euclidean geometry, circular and hyperbolic functions, the theory of orthogonal circles and allied topics, and the elements of inversion. Full Product DetailsAuthor: Wolfe WolfePublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 13.50cm , Height: 1.30cm , Length: 21.50cm Weight: 0.277kg ISBN: 9780486498508ISBN 10: 0486498506 Pages: 254 Publication Date: 30 November 2012 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsI. The Foundation of Euclidean Geometry II. The Fifth Postulate III. The Discovery of Non-Euclidean Geometry IV. Hyperbolic Plane Geometry V. Hyperbolic Plane Trigonometry VI. Applications of Calculus to the Solutions of Some Problems in Hyperbolic Geometry VII. Elliptic Plane Geometry and Trigonometry VIII. The Consistency of the Non-Euclidean Geometries Appendix I. The Foundation of Euclidean Geometry II. Circular and Hyperbolic Functions III. The Theory of Orthogonal Circles and Allied Topics IV. The Elements of Inversion IndexReviewsAuthor InformationHarold E. Wolfe was Professor of Mathematics at Indiana University. Tab Content 6Author Website:Countries AvailableAll regions |
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