Perspectives on projective geometry : a guided tour through real and complex geometry / Jürgen Richter-Gebert
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | New York : Springer |
| 出版年 | c2011 |
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| 書誌ID | OB01027110 |
|---|---|
| 本文言語 | 英語 |
| 別書名 | 異なりアクセスタイトル:Projective geometry 異なりアクセスタイトル:Guided tour through real and complex geometry 異なりアクセスタイトル:Real and complex geometry |
| 一般注記 | Includes bibliographical references (p. 557-562) and index 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. License restrictions may limit access Summary: 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 |
| 著者標目 | *Richter-Gebert, Jürgen 1963- |
| 件 名 | LCSH:Geometry, Projective LCSH:Geometry LCSH:Algebra LCSH:Algorithms LCSH:Discrete groups LCSH:Mathematics LCSH:Visualization FREE:Projektive Geometrie |
| 分 類 | LCC:QA471 |
| 巻冊次 | acid-free paper ; ISBN:9783642172854 RefWorks出力（各巻） acid-free paper ; ISBN:3642172857 RefWorks出力（各巻） e-ISBN ; XISBN:9783642172861 RefWorks出力（各巻） e-ISBN ; XISBN:3642172865 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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