청구기호 |
QA471 R53 2011 |
다른형태 서명 |
Projective geometry
Guided tour through real and complex geometry
Real and complex geometry
|
형태사항 |
xxii, 571 p. : ill. (some col.) ; 24 cm.
|
언어 |
English |
서지주기 |
Includes bibliographical references (p. 557-562) and index.
|
내용 |
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.
|
주제 |
Geometry, Projective.
Geometry.
Algebra.
Algorithms.
Discrete groups.
Mathematics.
Visualization.
Projektive Geometrie --swd
|
LCCN |
2011921702
|
ISBN |
9783642172854 (acid-free paper) :, 3642172857 (acid-free paper)
, 9783642172861 (e-ISBN)
, 3642172865 (e-ISBN)
|
QR CODE |
|