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Combinatorics of Finite Geometries

Combinatorics of Finite Geometries

2nd Edition

$48.99 (C)

  • Date Published: May 1997
  • availability: Available
  • format: Paperback
  • isbn: 9780521599931

$ 48.99 (C)
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About the Authors
  • 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.

    • 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
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    Reviews & endorsements

    "The whole book is warmly recommended to undergraduate students." Tamás Szõnyi, Mathematical Reviews

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    Product details

    • 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
    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
    Bibliography
    Index of notation
    Subject index.

  • Author

    Lynn Margaret Batten, Deakin University, Victoria

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