Geometries on Surfaces

Geometries on Surfaces

Pub. Date:
Cambridge University Press

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Geometries on Surfaces

One century after Hilbert constructed the first example of a non-classical affine plane, this book aims to summarize all the major results about geometries on surfaces. Acting both as a reference and a monograph, the authors have included detailed sections on what is known as well as outlining problems that remain to be solved. There are sections on classical geometries, methods for constructing non-classical geometries and classifications and characterizations of geometries. This work is related to a host of other fields including approximation, convexity, differential geometry topology and many more. This book will appeal to students, researchers and lecturers working in geometry or any one of the many associated areas outlined above.

Product Details

ISBN-13: 9780521660587
Publisher: Cambridge University Press
Publication date: 07/28/2010
Series: Encyclopedia of Mathematics and its Applications Series , #84
Pages: 514
Product dimensions: 6.14(w) x 9.21(h) x 1.14(d)

Table of Contents

1. Geometries for pedestrians; 2. Flat linear spaces; 3. Spherical circle planes; 4. Toroidal circle planes; 5. Cylindrical circle planes; 6. Generalized quadrangles; 7. Tubular circle planes; Appendices.

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