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Perspectives on projective geometry a guided tour through real and complex geometry / Jürgen Richter-Gebert.
| Author/creator | Richter-Gebert, Jürgen, 1963- |
| Format | Electronic |
| Publication Info | New York : Springer, |
| Description | xxii, 571 p. : ill. (some col.) ; 24 cm. |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2011 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Portion of title | Projective geometry |
| Portion of title | Guided tour through real and complex geometry |
| Portion of title | Real and complex geometry |
| 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. |
| Abstract | Projective 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. |
| Bibliography note | Includes bibliographical references (p. 557-562) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2011921702 |
| ISBN | 9783642172854 (acid-free paper) |
| ISBN | 3642172857 (acid-free paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |