Handbook of Combinatorial Designs
Seiten
2006
|
2nd edition
Chapman & Hall/CRC (Verlag)
978-1-58488-506-1 (ISBN)
Chapman & Hall/CRC (Verlag)
978-1-58488-506-1 (ISBN)
Covers the constructions of designs, existence results, properties of designs, and applications of designs. This book contains chapters on the history of design theory, various codes, bent functions, and numerous designs as well as tables, including BIBDs, PBDs, MOLS, and Hadamard matrices.
Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence results.
Over 30% longer than the first edition, the book builds upon the groundwork of its predecessor while retaining the original contributors' expertise. The first part contains a brief introduction and history of the subject. The following parts focus on four main classes of combinatorial designs: balanced incomplete block designs, orthogonal arrays and Latin squares, pairwise balanced designs, and Hadamard and orthogonal designs. Closely connected to the preceding sections, the next part surveys 65 additional classes of designs, such as balanced ternary, factorial, graphical, Howell, quasi-symmetric, and spherical. The final part presents mathematical and computational background related to design theory.
New to the Second Edition
An introductory part that provides a general overview and a historical perspective of the area
New chapters on the history of design theory, various codes, bent functions, and numerous types of designs
Fully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matrices
Nearly 2,200 references in a single bibliographic section
Meeting the need for up-to-date and accessible tabular and reference information, this handbook provides the tools to understand combinatorial design theory and applications that span the entire discipline.
The author maintains a website with more information.
Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence results.
Over 30% longer than the first edition, the book builds upon the groundwork of its predecessor while retaining the original contributors' expertise. The first part contains a brief introduction and history of the subject. The following parts focus on four main classes of combinatorial designs: balanced incomplete block designs, orthogonal arrays and Latin squares, pairwise balanced designs, and Hadamard and orthogonal designs. Closely connected to the preceding sections, the next part surveys 65 additional classes of designs, such as balanced ternary, factorial, graphical, Howell, quasi-symmetric, and spherical. The final part presents mathematical and computational background related to design theory.
New to the Second Edition
An introductory part that provides a general overview and a historical perspective of the area
New chapters on the history of design theory, various codes, bent functions, and numerous types of designs
Fully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matrices
Nearly 2,200 references in a single bibliographic section
Meeting the need for up-to-date and accessible tabular and reference information, this handbook provides the tools to understand combinatorial design theory and applications that span the entire discipline.
The author maintains a website with more information.
Charles J. Colbourn, Jeffrey H. Dinitz
Introduction. Block Designs. Latin Squares. Pairwise Balanced Designs. Hadamard Matrices and Related Designs. Other Combinatorial Designs. Related Mathematics.
Erscheint lt. Verlag | 2.11.2006 |
---|---|
Reihe/Serie | Discrete Mathematics and Its Applications |
Zusatzinfo | 300 Illustrations, black and white |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 2040 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre |
ISBN-10 | 1-58488-506-8 / 1584885068 |
ISBN-13 | 978-1-58488-506-1 / 9781584885061 |
Zustand | Neuware |
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