Finite Geometries 🔍
Gyorgy Kiss (Author); Tamas Szonyi (Author) Chapman and Hall/CRC, 1, 2019 jul 26
英语 [en] · PDF · 3.2MB · 2019 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/zlib · Save
描述
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
备用文件名
lgrsnf/R:\062020\TF\Finite geometries - 9781315120072.pdf
备用文件名
nexusstc/Finite Geometries/26d459da40470470f70fabe42e2aeae0.pdf
备用文件名
zlib/Mathematics/Geometry and Topology/Gyorgy Kiss (Author); Tamas Szonyi (Author)/Finite Geometries_5955079.pdf
备选标题
Posthumanism and Deconstructing Arguments Corpora and Digitally-driven Critical Analysis
备选作者
György Kiss, (Mathematics professor); T Szőnyi
备选作者
György Kiss, mathématicien.; T Szőnyi
备选作者
Kiss, Gyorgy, Szonyi, Tamas
备选作者
György Kiss; Tamas Szonyi
备选作者
György Kiss; Tamás Szönyi
备选作者
György Kiss; Tamás Szőnyi
备用出版商
CRC Press, Taylor & Francis Group
备用出版商
Ashgate Publishing Limited
备用出版商
Taylor & Francis Ltd
备用出版商
Gower Publishing Ltd
备用出版商
CRC Press LLC
备用版本
United Kingdom and Ireland, United Kingdom
备用版本
United States, United States of America
备用版本
Boca Raton ; London ; New York, 2020
备用版本
Boca Raton, FL, 2020
备用版本
Boca Raton, 2018
备用版本
Milton, 2019
备用版本
1, 20190726
元数据中的注释
lg2784600
元数据中的注释
{"edition":"1","isbns":["1315120070","1351636847","1351646389","1498721656","1498721664","9781315120072","9781351636841","9781351646383","9781498721653","9781498721660"],"last_page":347,"publisher":"Chapman and Hall/CRC"}
备用描述
**__Finite Geometries__**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 courseDiscusses applications to graph theory and extremal combinatoricsCovers coding theory and cryptographyTranslated and revised text from the Hungarian published version
备用描述
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
备用描述
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.
开源日期
2020-09-27
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