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Finite Geometry and Combinatorial Applications

Name: Finite Geometry and Combinatorial Applications
Brand: Cambridge University Press
SKU: 09157804
Price: 67.19 EUR
Availability: InStock
Author: Simeon Ball
ISBN: 9781107518438

Simeon Ball

Language

English

Book Paperback

Libristo code: 09157804

Publishers Cambridge University Press, June 2015

The projective and polar geometries that arise from a vector space over a finite field are particula... Full description

Libristo code: 09157804

164 b

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The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry.