Perspectives on projective geometry : a guided tour through real and complex geometry

＜図書＞
Perspectives on projective geometry : a guided tour through real and complex geometry

責任表示	Jürgen Richter-Gebert
データ種別	図書
出版情報	Berlin : Springer , c2011
本文言語	英語
大きさ	xxii, 571 p. : ill. (some col.) ; 24 cm
概要	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 Euclide...n geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications.続きを見る
目次	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.続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7008411

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	RICH/85/1	2011		033212011000511		予約・取寄			予約・取寄

一般注記	Includes bibliographical references (p. 557-562) and index
著者標目	*Richter-Gebert, Jürgen
件　名	LCSH:Geometry, Projective
分　類	DC22:516.5
書誌ID	1001446636
ISBN	9783642172854
NCID	BB05178350
巻冊次	ISBN:9783642172854
NBN	015686085
登録日	2011.04.26
更新日	2017.05.27