Finite geometries
by Kiss, György, (Mathematics professor)
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, cry…
Read More ↓Title Statements
- Full title :Finite geometries / György Kiss, Tamás Szőnyi
Summary
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
Read More ↓Edition Statements
- Publication Date:©2020
Publication Statements
- Publisher(s):CRC Press LLC
- Place of Publication:Boca Raton
- Language:eng
- Publication Date:©2020
The Physical Object
- Description:1 online resource (347 pages)
Edition Identifiers
- ISBN:9781498721660, 1498721664, 9781315120072, 1315120070, 9781351636841, 1351636847, 9781351646383, 1351646389
- oclc:on1111487411
- LC Classification:QA167.2
- Dewey Decimal:516.13
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
Read More ↓Subjects
Writers
No reviews yet. Be the first to rate this work.
Rate & Review