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 Archaeological Resource Management by Simeon Ball
Cover of the book Making We the People by Simeon Ball
Cover of the book Earthquakes in the Mediterranean and Middle East by Simeon Ball
Cover of the book Conservative Modernists by Simeon Ball
Cover of the book A Critical History and Philosophy of Psychology by Simeon Ball
Cover of the book Making Sense of Public Opinion by Simeon Ball
Cover of the book Better Mental Health Care by Simeon Ball
Cover of the book Estuarine and Coastal Hydrography and Sediment Transport by Simeon Ball
Cover of the book Responding to Global Poverty by Simeon Ball
Cover of the book The Cambridge Introduction to Byron by Simeon Ball
Cover of the book The Cambridge Handbook of Violent Behavior and Aggression by Simeon Ball
Cover of the book The Economics of Cultural Policy by Simeon Ball
Cover of the book Analysis on Polish Spaces and an Introduction to Optimal Transportation by Simeon Ball
Cover of the book Cerebral Small Vessel Disease by Simeon Ball
Cover of the book Phycology 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