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Finite Geometry and Combinatorial Applications

Finite Geometry and Combinatorial Applications

Hardcover

Series: London Mathematical Society Student Texts, Book 82

General MathematicsGeometry

ISBN10: 1107107997
ISBN13: 9781107107991
Publisher: Cambridge University Press
Published: Jul 2 2015
Pages: 298
Weight: 1.25
Height: 1.70 Width: 0.60 Depth: 9.40
Language: English
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.

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