Overview
- Systematic development of the subject from the current point of view
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (2 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
"This book is a comprehensive account of projective geometry and other classical geometries … exhaustively covering all the details that anyone could ever ask for. It is well-written and the many exercises and many figures … make it a very usable text. … My proposed audience for this book coincides with the publisher’s advice: graduate students and researchers in mathematics will find this book most useful … . For these readers, the book is a jewel long yearned for, and finally found." (Gizem Karaali, MathDL, November, 2007)
Authors and Affiliations
Bibliographic Information
Book Title: Projective and Cayley-Klein Geometries
Authors: Arkady L. Onishchik, Rolf Sulanke
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/3-540-35645-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Hardcover ISBN: 978-3-540-35644-8Published: 14 August 2006
Softcover ISBN: 978-3-642-07134-8Published: 25 November 2010
eBook ISBN: 978-3-540-35645-5Published: 22 November 2006
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XVI, 434
Number of Illustrations: 69 b/w illustrations
Topics: Geometry