Combinatorics of Finite Geometries

 
9780511665608: Combinatorics of Finite Geometries

Sinossi

This book is an introductory text on the combinatorial theory of finite geometry. It assumes only a basic knowledge of set theory and analysis, but soon leads the student to results at the frontiers of research. It begins with an elementary combinatorial approach to finite geometries based on finite sets of points and lines, and moves into the classical work on affine and projective planes. The next part deals with polar spaces, partial geometries, and generalised quadrangles. The revised edition contains an entirely new chapter on blocking sets in linear spaces, which highlights some of the most important applications of blocking sets from the initial game-theoretic setting to their recent use in cryptography. Extensive exercises at the end of each chapter ensure the usefulness of this book for senior undergraduate and beginning graduate students.

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Recensione

'The book is written in a very lively and readable style, and must be recommended as the first reading for everybody interested in this area of combinatorics and geometry.' European Mathematical Society

Descrizione del libro

This new edition has been thoroughly revised and updated and contains an entirely new chapter on blocking sets in linear spaces, including some of the most important applications, from the initial game-theoretic setting to their recent use in cryptography.

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