This is a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic. 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 ...
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This is a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic. 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.
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Add this copy of Geometry (Translations of Mathematical Monographs) to cart. £68.03, very good condition, Sold by Websters Bookstore Cafe rated 4.0 out of 5 stars, ships from State College, PA, UNITED STATES, published 2001 by American Mathematical Society.
Add this copy of Geometry (Translations of Mathematical Monographs) to cart. £111.60, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2001 by Amer Mathematical Society.
Add this copy of Geometry (Translations of Mathematical Monographs) to cart. £129.75, new condition, Sold by Just one more Chapter rated 4.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2001 by Amer Mathematical Society.