GEOMETRIES ON SURFACES by Burkard Polster, Gunter Steinke ( 9780511549656 )

Item Details

Title:

GEOMETRIES ON SURFACES

By:

Format:

Electronic book text

List price:	£85.00
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ISBN 10:

0511549652

ISBN 13:

9780511549656

Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

4 August, 2010

Series:

Encyclopedia of Mathematics and Its Applications 84

Description:

Both a reference and an introduction on the main results about topological geometries on surfaces.

Synopsis:

The projective, Mobius, 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.

Illustrations:

90 b/w illus.

Publication:

Imprint:

Cambridge University Press (Virtual Publishing)

Returns:

Non-returnable

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