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Finite geometries /

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Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope. The authors thoroughly explain how the subject of finite geometries is a central part of discrete mathematics. The text is suitable for undergraduate and graduate courses. Additionall...

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Bibliographic Details
Main Authors: Kiss, György (Mathematics professor) (Author), Szőnyi, T. (Author)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : CRC Press LLC, 2020
Subjects:
Finite geometries.
Combinatorial geometry.
Géométries finies.
Géométrie combinatoire.
MATHEMATICS > General.
MATHEMATICS > Geometry > General.
MATHEMATICS > Combinatorics.
Combinatorial geometry
Finite geometries
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Definition of projective planes, examples
  • Basic properties of collineations and the Theorem of Baer
  • Coordinatization of projective planes
  • Projective spaces of higher dimensions
  • Higher dimensional representations
  • Arcs, ovals and blocking sets
  • (k, n)-arcs and multiple blocking sets
  • Algebraic curves and finite geometry
  • Arcs, caps, unitals and blockin gsets in higher dimensional spaces
  • Generalized polygons, Möbius planes
  • Hyperovals
  • Some applications of finite geometry in combinatorics
  • Some applications of finite geometry in coding theory and cryptography