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OverviewMost linear algebra texts neglect geometry in general and linear geometry in particular. This text for advanced undergraduates and graduate students stresses the relationship between algebra and linear geometry. It begins by using the complex number plane as an introduction to a variety of transformations and their groups in the Euclidean plane, explaining algebraic concepts as they arise. A brief account of Poincaré's model of the hyperbolic plane and its transformation group follow.Succeeding chapters contain a systematic treatment of affine, Euclidean, and projective spaces over fields that emphasizes transformations and their groups, along with an outline of results involving other geometries. An examination of the foundations of geometry starts from rudimentary projective incidence planes, then gradually adjoins axioms and develops various non-Desarguesian, Desarguesian, and Pappian planes, their corresponding algebraic structures, and their collineation groups. The axioms of order, continuity, and congruence make their appearance and lead to Euclidean and non-Euclidean planes. Lists of books for suggested further reading follow the third and fourth chapters, and the Appendix provides lists of notations, axioms, and transformation groups. Full Product DetailsAuthor: Rafael ArtzyPublisher: Dover Publications Inc. Imprint: Dover Publications Inc. Dimensions: Width: 16.30cm , Height: 1.80cm , Length: 23.10cm Weight: 0.386kg ISBN: 9780486466279ISBN 10: 0486466272 Pages: 288 Publication Date: 24 July 2008 Audience: General/trade , General Format: Paperback Publisher's Status: Out of Print Availability: In Print Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |