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Combinatorics of Finite Geometries is an introductory text on the combinatorial theory of finite geometry. Assuming only a basic knowledge of set theory and analysis, it provides a thorough review of the topic and leads the student to results at the frontiers of research. This book 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. Later, it addresses polar spaces, partial geometries, and generalized 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 very recent use in cryptography. Extensive exercises at the end of each chapter insure the usefulness of this book for senior undergraduate and beginning graduate students.Read more
- Final chapter provides an introduction to the theory of blocking sets
- The book contains a comprehensive and completely up-to-date bibliography
- 40-50 exercises at the end of each chapter (the more difficult ones with hints), which provide the instructor with excellent assignment material
Reviews & endorsements
"The whole book is warmly recommended to undergraduate students." Tamás Szõnyi, Mathematical Reviews
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- Edition: 2nd Edition
- Date Published: May 1997
- format: Paperback
- isbn: 9780521599931
- length: 208 pages
- dimensions: 228 x 151 x 11 mm
- weight: 0.319kg
- availability: Available
Table of Contents
Preface to the first edition
1. Near-linear spaces
2. Linear spaces
3. Projective spaces
4. Affine spaces
5. Polar spaces
6. Generalized quadrangles
7. Partial geometries
8. Blocking sets
Index of notation
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