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 To Govern China by Simeon Ball
Cover of the book Global Trade in the Nineteenth Century by Simeon Ball
Cover of the book Quantum Information Theory by Simeon Ball
Cover of the book Solidarity Under Siege by Simeon Ball
Cover of the book Sustainability in the Global City by Simeon Ball
Cover of the book The Judiciary, the Legislature and the EU Internal Market by Simeon Ball
Cover of the book Macroeconomic Paradigms and Economic Policy by Simeon Ball
Cover of the book Tamta's World by Simeon Ball
Cover of the book Trees by Simeon Ball
Cover of the book Shakespeare Performance Studies by Simeon Ball
Cover of the book Big Data, Health Law, and Bioethics by Simeon Ball
Cover of the book Nietzsche: Untimely Meditations by Simeon Ball
Cover of the book Regime Consolidation and Transitional Justice by Simeon Ball
Cover of the book Ergodic Control of Diffusion Processes by Simeon Ball
Cover of the book George Eliot's Intellectual Life 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