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Author Richter-Gebert, Jürgen, 1963-

Title Perspectives on projective geometry : a guided tour through real and complex geometry / Jürgen Richter-Gebert

Publ Info Heidelberg [Germany] ; New York : Springer, [2011]
Heidelberg [Germany] ; New York : Springer, [2011]
 Bryant Main Stacks  QA471 .R53 2011    AVAILABLE
 RWU Main Library  QA471 .R53 2011    AVAILABLE
 Salve Main Collection  QA471 .R53 2011    AVAILABLE
Descript xxii, 571 pages : illustrations (some color) ; 24 cm
text rdacontent
unmediated rdamedia
volume rdacarrier
text rdacontent
unmediated rdamedia
volume rdacarrier
Note Includes bibliographical references (p. 557-562) and index
Contents Pappo'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
LC subject Geometry, Projective
Discrete groups
Alt Title Projective geometry
Guided tour through real and complex geometry
Real and complex geometry
ISBN 9783642172854 (acid-free paper)
3642172857 (acid-free paper)