000			nam a22 7a 4500
999			_c29336 _d29336
008			190311b xxu||||| |||| 00| 0 eng d
020			_a9781107103405 _c(hbk)
082			_a516.2 _bJOH
100			_aJohnson, Norman W.
245			_aGeometries and transformations
260			_aCambridge : _bCambridge University Press _c2018
300			_axv, 438 p. : _bill. ; _c24.1 cm.
365			_aGBP _b59.99 _d00
504			_aIncludes bibliographical references and index.
520			_aEuclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed"
650			_aGeometry
650			_aMATHEMATICS
650			_aTransformations
650			_aTopology
942			_2ddc _cBK