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.
| ISBN: | 9783540356448 |
| Publication date: | 14th August 2006 |
| Author: | Arkadij L Onishchik, Rolf Sulanke |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Hardback |
| Pagination: | 434 pages |
| Series: | Springer Monographs in Mathematics |
| Genres: |
Geometry |
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.
Projective and Cayley-Klein Geometries features in the following genres: Geometry
Projective and Cayley-Klein Geometries is available in Hardback
Projective and Cayley-Klein Geometries was written by Arkadij L Onishchik, Rolf Sulanke and published by Springer an imprint of Springer Berlin Heidelberg
Projective and Cayley-Klein Geometries has 434 pages
Yes it is part of Springer Monographs in Mathematics series