UID:
almahu_9949383478202882
Umfang:
1 online resource (347 pages)
ISBN:
9781498721660
,
1498721664
,
9781315120072
,
1315120070
,
9781351636841
,
1351636847
,
9781351646383
,
1351646389
Inhalt:
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
Anmerkung:
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
Weitere Ausg.:
Print version: Kiss, György (Mathematics professor). Finite geometries. Boca Raton, FL : CRC Press, Taylor & Francis Group, 2020 ISBN 9781498721653
Sprache:
Englisch
Schlagwort(e):
Electronic books.
;
Electronic books.
URL:
https://www.taylorfrancis.com/books/9781315120072
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