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OverviewThis book provides a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. Also included is a chapter on infinite-dimensional generalizations of Euclidean and affine geometries. A uniform approach to different geometries, based on Klein's Erlangen Program is suggested, and similarities of various phenomena in all geometries are traced. An important notion of duality of geometric objects is highlighted throughout the book. The authors also include a detailed presentation of the theory of conics and quadrics, including the theory of conics for non-Euclidean geometries. The book contains many beautiful geometric facts and has plenty of problems, most of them with solutions, which nicely supplement the main text. With more than 150 figures illustrating the arguments, the book can be recommended as a textbook for undergraduate and graduate-level courses in geometry. Full Product DetailsAuthor: V. V. Prasolov , V. M. TikhomirovPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 200 Weight: 0.499kg ISBN: 9781470425432ISBN 10: 1470425432 Pages: 257 Publication Date: 30 September 2015 Audience: College/higher education , Postgraduate, Research & Scholarly 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 ContentsIntroduction The Euclidean world The affine world The projective world Conics and quadrics The world of non-Euclidean geometries The infinite-dimensional world Addendum Solutions, hints, and answers Bibliography Author index Subject indexReviewsAuthor InformationV. V. Prasolov, Independent University of Moscow, Russia. V. M. Tikhomirov, Moscow State University, Russia. Tab Content 6Author Website:Countries AvailableAll regions |
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