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Combinatorics and Finite Geometry

Combinatorics and Finite Geometry
Catalogue Information
Field name Details
Dewey Class 511.1
Title Combinatorics and Finite Geometry ([EBook]) / by Steven T. Dougherty.
Author Dougherty, Steven T.
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2020.
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details XV, 369 p. 100 illus. : online resource.
Series Springer undergraduate mathematics series 1615-2085
ISBN 9783030563950
Summary Note 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.:
Contents note 1 Foundational Combinatorial Structures -- 2 Foundational Algebraic Structures -- 3 Mutually Orthogonal Latin Squares -- 4 Affine and Projective Planes -- 5 Graphs -- 6 Higher Dimensional Finite Geometry -- 7 Designs -- 8 Combinatorial Objects -- 9 Discrete Probability - A Return to Counting -- 10 Automorphism Groups -- 11 Codes -- 12 Cryptology -- 13 Games and Designs -- 14 Epilogue -- References -- Glossary -- Solutions to Selected Odd Problems -- Index.
Mode of acces to digital resource Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note - Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-3-030-56395-0
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