The projective, Möbius, Laguerre, and Minkowski planes over the real numbers are just a few examples of a host of fundamental classical topological geometries on surfaces. This book summarizes all known major results and open problems related to these classical point-line geometries and their close (nonclassical) relatives. Topics covered include: classical geometries; methods for constructing nonclassical geometries; classifications and characterizations of geometries. This work is related to many other fields including interpolation theory, convexity, the theory of pseudoline arrangements, topology, the theory of Lie groups, and many more. The authors detail these connections, some of which are well-known, but many much less so. Acting both as a reference for experts and as an accessible introduction for graduate students, this book will interest anyone wishing to know more about point-line geometries and the way they interact.
| ISBN: | 9780521660587 |
| Publication date: | 3rd October 2001 |
| Author: | Burkard University of Adelaide Polster, Günter University of Canterbury, Christchurch, New Zealand Steinke |
| Publisher: | Cambridge University Press |
| Format: | Hardback |
| Pagination: | 514 pages |
| Series: | Encyclopedia of Mathematics and its Applications |
| Genres: |
Geometry |
The projective, Möbius, Laguerre, and Minkowski planes over the real numbers are just a few examples of a host of fundamental classical topological geometries on surfaces. This book summarizes all known major results and open problems related to these classical point-line geometries and their close (nonclassical) relatives. Topics covered include: classical geometries; methods for constructing nonclassical geometries; classifications and characterizations of geometries. This work is related to many other fields including interpolation theory, convexity, the theory of pseudoline arrangements, topology, the theory of Lie groups, and many more. The authors detail these connections, some of which are well-known, but many much less so. Acting both as a reference for experts and as an accessible introduction for graduate students, this book will interest anyone wishing to know more about point-line geometries and the way they interact.
Geometries on Surfaces features in the following genres: Geometry
Geometries on Surfaces is available in Hardback
Geometries on Surfaces was written by Burkard University of Adelaide Polster, Günter University of Canterbury, Christchurch, New Zealand Steinke and published by Cambridge University Press
Geometries on Surfaces has 514 pages
Yes it is part of Encyclopedia of Mathematics and its Applications series
£138.60