000 02779nam a22004335i 4500
001 978-1-4471-4631-5
003 DE-He213
005 20140220082806.0
007 cr nn 008mamaa
008 121213s2013 xxk| s |||| 0|eng d
020 _a9781447146315
_9978-1-4471-4631-5
024 7 _a10.1007/978-1-4471-4631-5
_2doi
050 4 _aQA471
072 7 _aPBM
_2bicssc
072 7 _aMAT012000
_2bisacsh
082 0 4 _a516.5
_223
100 1 _aLord, Eric.
_eauthor.
245 1 0 _aSymmetry and Pattern in Projective Geometry
_h[electronic resource] /
_cby Eric Lord.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2013.
300 _aXI, 184 p. 103 illus., 20 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aFoundations: the Synthetic Approach -- The Analytic Approach -- Linear Figures -- Quadratic Figures -- Cubic Figures -- Quartic Figures -- Finite Geometries.
520 _aSymmetry and Pattern in Projective Geometry is a self-contained study of projective geometry which compares and contrasts the analytic and axiomatic methods.The analytic approach is based on homogeneous coordinates. Brief introductions to Plücker coordinates and Grassmann coordinates are also presented. This book looks carefully at linear, quadratic, cubic and quartic figures in two, three and higher dimensions. It deals at length with the extensions and consequences of basic theorems such as those of Pappus and Desargues. The emphasis throughout is on special configurations that have particularly interesting symmetry properties.   The intricate and novel ideas of H S M Coxeter, who is considered one of the great geometers of the twentieth century, are also discussed throughout the text. The book concludes with a useful analysis of finite geometries and a description of some of the remarkable configurations discovered by Coxeter.   This book will be appreciated by mathematics undergraduate students and those wishing to learn more about the subject of geometry. Subject and theorems that are often considered quite complicated are made accessible and presented in an easy-to-read and enjoyable manner. 
650 0 _aMathematics.
650 0 _aAlgebra
_xData processing.
650 1 4 _aMathematics.
650 2 4 _aProjective Geometry.
650 2 4 _aSymbolic and Algebraic Manipulation.
650 2 4 _aMathematics, general.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447146308
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-4631-5
912 _aZDB-2-SMA
999 _c94667
_d94667