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 New Perspectives on Type Identity by Simeon Ball
Cover of the book The Changing Fortunes of Central Banking by Simeon Ball
Cover of the book Complicity in the Holocaust by Simeon Ball
Cover of the book Single Embryo Transfer by Simeon Ball
Cover of the book A History of Korean Christianity by Simeon Ball
Cover of the book Vietnam's Lost Revolution by Simeon Ball
Cover of the book The Cambridge Introduction to Samuel Taylor Coleridge by Simeon Ball
Cover of the book Black Germany by Simeon Ball
Cover of the book Quantum Mechanics by Simeon Ball
Cover of the book Vibration of Nearly Periodic Structures and Mistuned Bladed Rotors by Simeon Ball
Cover of the book The Physical Nature of Christian Life by Simeon Ball
Cover of the book The Crime of Aggression under the Rome Statute of the International Criminal Court by Simeon Ball
Cover of the book Twelve Landmarks of Twentieth-Century Analysis by Simeon Ball
Cover of the book Common Pitfalls in Multiple Sclerosis and CNS Demyelinating Diseases by Simeon Ball
Cover of the book Quantum Transport 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