000			03558nam a22005055i 4500
001			u375469
003			SIRSI
005			20160812084325.0
007			cr nn 008mamaa
008			110204s2011 gw | s |||| 0|eng d
020			_a9783642172861 _9978-3-642-17286-1
040			_cMX-MeUAM
050		4	_aQA440-699
082	0	4	_a516 _223
100	1		_aRichter-Gebert, Jürgen. _eauthor.
245	1	0	_aPerspectives on Projective Geometry _h[recurso electrónico] : _bA Guided Tour Through Real and Complex Geometry / _cby Jürgen Richter-Gebert.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2011.
300			_aXXII, 571p. 380 illus., 250 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		_a1 Pappos's Theorem: Nine Proofs and Three Variations -- 2 Projective Planes -- 3 Homogeneous Coordinates -- 4 Lines and Cross-Ratios -- 5 Calculating with Points on Lines -- 6 Determinants -- 7 More on Bracket Algebra -- 8 Quadrilateral Sets and Liftings -- 9 Conics and Their Duals -- 10 Conics and Perspectivity -- 11 Calculating with Conics -- 12 Projective d-space -- 13 Diagram Techniques -- 14 Working with diagrams -- 15 Configurations, Theorems, and Bracket Expressions -- 16 Complex Numbers: A Primer -- 17 The Complex Projective Line -- 18 Euclidean Geometry -- 19 Euclidean Structures from a Projective Perspective -- 20 Cayley-Klein Geometries -- 21 Measurements and Transformations -- 22 Cayley-Klein Geometries at Work -- 23 Circles and Cycles -- 24 Non-Euclidean Geometry: A Historical Interlude -- 25 Hyperbolic Geometry -- 26 Selected Topics in Hyperbolic Geometry -- 27 What We Did Not Touch -- References -- Index.
520			_aProjective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aAlgorithms.
650		0	_aVisualization.
650		0	_aGeometry.
650		0	_aDiscrete groups.
650	1	4	_aMathematics.
650	2	4	_aGeometry.
650	2	4	_aAlgebra.
650	2	4	_aAlgorithms.
650	2	4	_aGeneral Algebraic Systems.
650	2	4	_aVisualization.
650	2	4	_aConvex and Discrete Geometry.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642172854
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-17286-1
596			_a19
942			_cLIBRO_ELEC
999			_c203349 _d203349