Projective and Cayley-Klein Geometries : Arkadij L. Onishchik :
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I think that "Notes on Geometry" by Rees is a good one but I need more details. What is the best book to start with? Onishchik and Rolf Sulanke. Njeim E. Njeim 2 2 bronze badges. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Bestselling Series. Harry Potter.
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Categories: Mathematics Geometry. Description This book offers an introduction into projective geometry. The first part presents n-dimensional projective geometry over an arbitrary skew field; the real, the complex, and the quaternionic geometries are the central topics, finite geometries playing only a minor part.
The second deals with classical linear and projective groups and the associated geometries. The final section summarizes selected results and problems from the geometry of transformation groups.
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Product details Format Hardback pages Dimensions x x Illustrations note 69 Illustrations, black and white; XVI, p. Other books in this series. Set Theory Thomas J.
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Projective and Cayley-Klein Geometries / Edition 1
Moufang Polygons Jacques Tits. Back cover copy Projective geometry, and the Cayley-Klein geometries embedded into it, were originated in the 19th century. It is one of the foundations of algebraic geometry and has many applications to differential geometry. The book presents a systematic introduction to projective geometry as based on the notion of vector space, which is the central topic of the first chapter.
The second chapter covers the most important classical geometries which are systematically developed following the principle founded by Cayley and Klein, which rely on distinguishing an absolute and then studying the resulting invariants of geometric objects. An appendix collects brief accounts of some fundamental notions from algebra and topology with corresponding references to the literature.