Combinatorics of Finite Geometries

Overview

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. This is followed by chapters dealing with polar spaces, partial geometries, and generalized quadrangles. The second edition ...
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1986 pp. x, 173, many figures in the text, paperback, spine sunned-otherwise a very good ex-library copy [0521318572] *****PLEASE NOTE: This item is shipping from an authorized ... seller in Europe. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** Read more Show Less

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Very Good Ships from the UK. Former Library book. Great condition for a used book! Minimal wear. Your purchase also supports literacy charities. *****PLEASE NOTE: This item is ... shipping from an authorized seller in Europe. In the event that a return is necessary, you will be able to return your item within the US. To learn more about our European sellers and policies see the BookQuest FAQ section***** Read more Show Less

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Overview

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. This is followed by chapters dealing with polar spaces, partial geometries, and generalized quadrangles. The second 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 very 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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Editorial Reviews

From the Publisher
"The whole book is warmly recommended to undergraduate students." Tamás Szõnyi, Mathematical Reviews
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Product Details

  • ISBN-13: 9780521318570
  • Publisher: Cambridge University Press
  • Publication date: 3/31/1986
  • Pages: 183
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.43 (d)

Table of Contents

Preface
Preface to the first edition
1 Near-linear spaces 1
2 Linear spaces 23
3 Projective spaces 41
4 Affine spaces 67
5 Polar spaces 89
6 Generalized quadrangles 112
7 Partial geometries 138
8 Blocking sets 158
Bibliography 176
Index of notation 190
Subject index 191
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