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Sprache:
Englisch
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Beschreibung
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.
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.
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.
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.
Über den Autor
Steven Dougherty is a Professor at the University of Scranton, Pennsylvannia. The author of over 100 papers and 2 books, he has lectured over 60 times in 11 countries and was awarded the 2005 Merten M. Hasse prize.
Zusammenfassung
Provides a gentle introduction to combinatorics, finite geometry and related topics
Covers a broad range of related topics including error-connecting codes, cryptology and combinatorial game theory
Includes numerous examples and exercises that illustrate the theory
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: | 2020 |
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Fachbereich: | Allgemeines |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Inhalt: |
xv
369 S. 100 s/w Illustr. 369 p. 100 illus. |
ISBN-13: | 9783030563943 |
ISBN-10: | 3030563944 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Dougherty, Steven T. |
Auflage: | 1st edition 2020 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 21 mm |
Von/Mit: | Steven T. Dougherty |
Erscheinungsdatum: | 31.10.2020 |
Gewicht: | 0,587 kg |