<p>". . . remains the only resource to contain all of the most important results and tables in the field of combinatorial design." </p><p>– In <em>L’Enseignement Mathématique</em>, January-June 2007, Vol. 53, No. 1-2</p>

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.

    Les mer
    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.
    Les mer
    Introduction. Block Designs. Latin Squares. Pairwise Balanced Designs. Hadamard Matrices and Related Designs. Other Combinatorial Designs. Related Mathematics.

    Produktdetaljer

    ISBN
    9781584885061
    Publisert
    2006-11-02
    Utgave
    2. utgave
    Utgiver
    Vendor
    Chapman & Hall/CRC
    Vekt
    2040 gr
    Høyde
    254 mm
    Bredde
    178 mm
    Aldersnivå
    G, P, 01, 06
    Språk
    Product language
    Engelsk
    Format
    Product format
    Innbundet
    Antall sider
    1016

    Biographical note

    Charles J. Colbourn, Jeffrey H. Dinitz