Projective and Cayley-Klein Geometries

Arkadij L. Onishchik

ISBN 10: 3540356444 / ISBN 13: 9783540356448

Edité par Springer, Springer Vieweg, 2006

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - Projective geometry, and the Cayley-Klein geometries embedded into it, were originated in the 19th century. It is one of the foundations of algebraic geometry and has many applications to differential geometry. The book presents a systematic introduction to projective geometry as based on the notion of vector space, which is the central topic of the first chapter. The second chapter covers the most important classical geometries which are systematically developed following the principle founded by Cayley and Klein, which rely on distinguishing an absolute and then studying the resulting invariants of geometric objects. An appendix collects brief accounts of some fundamental notions from algebra and topology with corresponding references to the literature.This self-contained introduction is a must for students, lecturers and researchers interested in projective geometry.

N° de réf. du vendeur 9783540356448

Détails bibliographiques

• Titre: Projective and Cayley-Klein Geometries
• Éditeur: Springer, Springer Vieweg
• Date de parution: 2006
• Langue: anglais
• ISBN à 10 chiffres: 3540356444
• ISBN à 13 chiffres: 9783540356448
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 29 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 29 millimètres de profondeur
• Poids: 846 grammes

A propos de ce titre

Synopsis

Projective geometry, and the Cayley-Klein geometries embedded into it, were originated in the 19th century. It is one of the foundations of algebraic geometry and has many applications to differential geometry.

The book presents a systematic introduction to projective geometry as based on the notion of vector space, which is the central topic of the first chapter. The second chapter covers the most important classical geometries which are systematically developed following the principle founded by Cayley and Klein, which rely on distinguishing an absolute and then studying the resulting invariants of geometric objects.

An appendix collects brief accounts of some fundamental notions from algebra and topology with corresponding references to the literature.

This self-contained introduction is a must for students, lecturers and researchers interested in projective geometry.

Présentation de l'éditeur

This book offers an introduction into projective geometry. The first part presents n-dimensional projective geometry over an arbitrary skew field; the real, the complex, and the quaternionic geometries are the central topics, finite geometries playing only a minor part. The second deals with classical linear and projective groups and the associated geometries. The final section summarizes selected results and problems from the geometry of transformation groups.