MARC Record from Library of Congress

LEADER: 02608cam a2200397 a 4500
001 2011921702
003 DLC
005 20131107074540.0
008 110127s2011 nyua b 001 0 eng c
010 $a 2011921702
020 $a9783642172854 (acid-free paper)
020 $a3642172857 (acid-free paper)
020 $z9783642172861 (e-ISBN)
020 $z3642172865 (e-ISBN)
035 $a(OCoLC)ocn690089198
040 $aBTCTA$beng$cBTCTA$dCDX$dYDXCP$dBWX$dIXA$dOUP$dOHX$dHEBIS$dIQU$dMOU$dGTA$dDLC
042 $apcc
050 00 $aQA471$b.R53 2011
100 1 $aRichter-Gebert, Jürgen,$d1963-
245 10 $aPerspectives on projective geometry :$ba guided tour through real and complex geometry /$cJürgen Richter-Gebert.
246 30 $aProjective geometry
246 30 $aGuided tour through real and complex geometry
246 30 $aReal and complex geometry
260 $aNew York :$bSpringer,$cc2011.
300 $axxii, 571 p. :$bill. (some col.) ;$c24 cm.
504 $aIncludes bibliographical references (p. 557-562) and index.
505 0 $aPappo's theorem : nine proofs and three variations -- Projective geometry. Projective planes -- Homogeneous coordinates -- Lines and cross-ratios -- Calculating with points on lines -- Determinates -- More on bracket algebra -- Working and playing with geometry. Quadrilateral sets and liftings -- Conics and their duals -- Conics and perspectivity -- Calculating with conics -- Projective d-space -- Diagram techniques -- Working with diagrams -- Configurations, theorems, and bracket expressions -- Measurements. Complex numbers : a primer -- The complex projective line -- Euclidean geometry -- Euclidean structures from a projective perspective -- Cayley-Klein geometries -- Measurements and transformations -- Cayley-Klein geometries at work -- Circles and cycles -- Non-Euclidean geometry : a historical interlude -- Hyperbolic geometry -- Selected topics in hyperbolic geometry -- What we did not touch.
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.
650 0 $aGeometry, Projective.
650 0 $aGeometry.
650 0 $aAlgebra.
650 0 $aAlgorithms.
650 0 $aDiscrete groups.
650 0 $aMathematics.
650 0 $aVisualization.
650 07 $aProjektive Geometrie$2swd