Projective and Cayley-Klein Geometries (Springer Monographs in Mathematics)
Language: English
Published by Springer, 2006
- Hardcover
- New
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In English.
Seller Inventory # ria9783540356448_new
- Title
- Projective and Cayley-Klein Geometries (Springer Monographs in Mathematics)
- Author
- Onishchik, Arkadij L.; Sulanke, Rolf
- Publisher
- Springer
- Publication year
- 2006
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3540356444
- ISBN 13
- 9783540356448
- Item weight
- 933 grams
- Series
- Book 36 of 187: Springer Monographs in Mathematics
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
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