Finite Geometry and Combinatorial Applications (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2015

1107107997 / 9781107107991

Series: Book 67 of 83 - London Mathematical Society Student Texts

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Hardcover. 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. For students and researchers interested in algebraic combinatorics, this book not only provides an introduction to the geometries arising from vector spaces over finite fields but also shows how these geometries can be applied to various combinatorial objects. More than 100 exercises and solutions are provided. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. …

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Title
Finite Geometry and Combinatorial Applications (Hardcover)
Author
Simeon Ball
Publisher
Cambridge University Press, Cambridge
Publication year
2015
Condition
new
Binding
Hardcover
Language
English
ISBN 10
1107107997
ISBN 13
9781107107991
Series
Book 67 of 83: London Mathematical Society Student Texts

CitiRetail

Stevenage, United Kingdom

5-star seller

AbeBooks seller since June 29, 2022

Shipping rates from United Kingdom to U.S.A.

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