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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]
©2011
Heidelberg [Germany] ; New York : Springer, [2011]
©2011
LOCATION CALL # STATUS NOTE
 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
Geometry
Algebra
Algorithms
Discrete groups
Mathematics
Visualization
Alt Title Projective geometry
Guided tour through real and complex geometry
Real and complex geometry
ISBN 9783642172854 (acid-free paper)
3642172857 (acid-free paper)