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Finite Geometries
 
Product details:
ISBN13:9781498721653
ISBN10:1498721656
Binding:Hardback
No. of pages:346 pages
Size:234x156 mm
Weight:640 g
Language:English
Illustrations: 26 Illustrations, black & white; 5 Tables, black & white
885
Category:

Finite Geometries

 
Edition number: 1
Publisher: Chapman and Hall
Date of Publication:
 
Normal price:
Publisher's listprice:
GBP 110.00
Estimated price in HUF:
53 130 HUF (50 600 HUF + 5% VAT)
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42 504 (40 480 HUF + 5% VAT )
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Short description:

Finite Geometries stands out from recent textbooks on the subject of finite geometries by having a broader scope. This textbook explains the recent proof techniques using polynomials in case of Desarguesian planes.

Long description:

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. Additionally, it can be used as reference material on recent works.



The authors examine how finite geometries? applicable nature led to solutions of open problems in different fields, such as design theory, cryptography and extremal combinatorics. Other areas covered include proof techniques using polynomials in case of Desarguesian planes, and applications in extremal combinatorics, plus, recent material and developments.



Features:




  • Includes exercise sets for possible use in a graduate course



  • Discusses applications to graph theory and extremal combinatorics



  • Covers coding theory and cryptography



  • Translated and revised text from the Hungarian published version

Table of Contents:

Definition of projective planes, examples


Basic properties of collineations and the Theorem of Baer


Coordination 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 geometries


Arcs, caps, unitals and blocking sets in higher dimensional spaces


Generalized polygons, Mobius planes


Hyperovals


Some applications of finite geometry in combinatorics


Some applications of finite geometry in coding theory and cryptography