Springer Monographs in Mathematics

Projective and Cayley-Klein Geometries

Authors: Onishchik, Arkadij L., Sulanke, Rolf

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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)


Table of contents (2 chapters)

Table of contents (2 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-540-35645-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-540-35644-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $139.99
price for USA in USD
  • ISBN 978-3-642-07134-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Projective and Cayley-Klein Geometries
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-35645-5
DOI
10.1007/3-540-35645-2
Hardcover ISBN
978-3-540-35644-8
Softcover ISBN
978-3-642-07134-8
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XVI, 434
Number of Illustrations
69 b/w illustrations
Topics