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Combinatorial Designs
Constructions and Analysis
Taschenbuch von Douglas Stinson
Sprache: Englisch

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Beschreibung
Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals incomputer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.
Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals incomputer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.
Zusammenfassung
A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied math, combinatorics, and applied statistics will find the book an essential resource.
Inhaltsverzeichnis
* Introduction to BIBDs * Symmetric BIBDs * Difference sets and automorphisms * Hadamard matrices and designs * Resolvable BIBDs * Steiner triple systems * Mutually orthogonal Latin squares * Pairwise balanced designs * t-designs * Orthogonal arrays and codes * Index
Details
Erscheinungsjahr: 2011
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xvi
300 S.
ISBN-13: 9781441930224
ISBN-10: 1441930221
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Stinson, Douglas
Auflage: Softcover reprint of the original 1st ed. 2004
Hersteller: Springer New York
Springer US, New York, N.Y.
Maße: 235 x 155 x 18 mm
Von/Mit: Douglas Stinson
Erscheinungsdatum: 14.12.2011
Gewicht: 0,487 kg
Artikel-ID: 107252935
Zusammenfassung
A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied math, combinatorics, and applied statistics will find the book an essential resource.
Inhaltsverzeichnis
* Introduction to BIBDs * Symmetric BIBDs * Difference sets and automorphisms * Hadamard matrices and designs * Resolvable BIBDs * Steiner triple systems * Mutually orthogonal Latin squares * Pairwise balanced designs * t-designs * Orthogonal arrays and codes * Index
Details
Erscheinungsjahr: 2011
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xvi
300 S.
ISBN-13: 9781441930224
ISBN-10: 1441930221
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Stinson, Douglas
Auflage: Softcover reprint of the original 1st ed. 2004
Hersteller: Springer New York
Springer US, New York, N.Y.
Maße: 235 x 155 x 18 mm
Von/Mit: Douglas Stinson
Erscheinungsdatum: 14.12.2011
Gewicht: 0,487 kg
Artikel-ID: 107252935
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