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Combinatorics and finite geometry

This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely...

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Detalles Bibliográficos
Autor principal: Dougherty, Steven T
Lenguaje:eng
Publicado: Springer 2020
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-030-56395-0
http://cds.cern.ch/record/2744371
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author Dougherty, Steven T
author_facet Dougherty, Steven T
author_sort Dougherty, Steven T
collection CERN
description This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.
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spelling cern-27443712021-04-21T16:45:03Zdoi:10.1007/978-3-030-56395-0http://cds.cern.ch/record/2744371engDougherty, Steven TCombinatorics and finite geometryMathematical Physics and MathematicsThis undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.Springeroai:cds.cern.ch:27443712020
spellingShingle Mathematical Physics and Mathematics
Dougherty, Steven T
Combinatorics and finite geometry
title Combinatorics and finite geometry
title_full Combinatorics and finite geometry
title_fullStr Combinatorics and finite geometry
title_full_unstemmed Combinatorics and finite geometry
title_short Combinatorics and finite geometry
title_sort combinatorics and finite geometry
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-030-56395-0
http://cds.cern.ch/record/2744371
work_keys_str_mv AT doughertystevent combinatoricsandfinitegeometry