Finite Geometry and Combinatorial Applications

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics, Geometry
Cover of the book Finite Geometry and Combinatorial Applications by Simeon Ball, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Simeon Ball ISBN: 9781316290446
Publisher: Cambridge University Press Publication: June 26, 2015
Imprint: Cambridge University Press Language: English
Author: Simeon Ball
ISBN: 9781316290446
Publisher: Cambridge University Press
Publication: June 26, 2015
Imprint: Cambridge University Press
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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book The Politics of Human Rights by Simeon Ball
Cover of the book The Cambridge Companion to Gadamer by Simeon Ball
Cover of the book The Making of Vernacular Singapore English by Simeon Ball
Cover of the book Kuhn's Evolutionary Social Epistemology by Simeon Ball
Cover of the book Burden of Proof, Presumption and Argumentation by Simeon Ball
Cover of the book Torture, Power, and Law by Simeon Ball
Cover of the book Civil Society in Europe by Simeon Ball
Cover of the book The Cambridge Companion to Bartók by Simeon Ball
Cover of the book Intervention and Transnationalism in Africa by Simeon Ball
Cover of the book Shakespeare on Screen by Simeon Ball
Cover of the book Essentials of Programming in Mathematica® by Simeon Ball
Cover of the book Physics by Example by Simeon Ball
Cover of the book British Political Culture and the Idea of ‘Public Opinion', 1867–1914 by Simeon Ball
Cover of the book Cambridge Handbook of Strategy as Practice by Simeon Ball
Cover of the book ECMO in the Adult Patient by Simeon Ball
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy