Having cofounded--with Horadam--the theory of co-cyclic designs during the early 1990s, De Launey (1958-2010) worked for many years on his theory of algebraic design, which he lived to finish but not see published. Flannery (mathematics, National U. of Ireland-Galway,) worked with him and prepared the manuscript for publication. To inspire researchers at all levels to investigate algebraic questions posed by design theory, they provide a large selection of the algebraic objects and applications to be found in design theory. The book is technical and quite abstract, taking a non-standard approach and highlighting principal themes in such as way that they can be studied for their own sake. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
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Warwick de Launey, National University of Ireland, Galway, Ireland||Dane Flannery, National University of Ireland, Galway, Irelan
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Zustand: New. Provides a unified vision of the algebraic themes which have developed so far in design theory. Series: Mathematical Surveys and Monographs. Num Pages: 297 pages. BIC Classification: PBD. Category: (G) General (US: Trade). Dimension: 256 x 183 x 22. Weight in Grams: 704. . 2011. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821844960
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Hardback. Zustand: New. Combinatorial design theory is a source of simply stated, concrete, yet difficult discrete problems, with the Hadamard conjecture being a prime example. It has become clear that many of these problems are essentially algebraic in nature. This book provides a unified vision of the algebraic themes which have developed so far in design theory. These include the applications in design theory of matrix algebra, the automorphism group and its regular subgroups, the composition of smaller designs to make larger designs, and the connection between designs with regular group actions and solutions to group ring equations. Everything is explained at an elementary level in terms of orthogonality sets and pairwise combinatorial designs--new and simple combinatorial notions which cover many of the commonly studied designs. Particular attention is paid to how the main themes apply in the important new context of cocyclic development. Indeed, this book contains a comprehensive account of cocyclic Hadamard matrices. The book was written to inspire researchers, ranging from the expert to the beginning student, in algebra or design theory, to investigate the fundamental algebraic problems posed by combinatorial design theory. Bestandsnummer des Verkäufers LU-9780821844960
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Zustand: New. Provides a unified vision of the algebraic themes which have developed so far in design theory. Series: Mathematical Surveys and Monographs. Num Pages: 297 pages. BIC Classification: PBD. Category: (G) General (US: Trade). Dimension: 256 x 183 x 22. Weight in Grams: 704. . 2011. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821844960
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