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Introduction to Combinatorial Designs, Second Edition

by W. D. Wallis

Introduction to Combinatorial Designs, Second Edition Cover

Synopses & Reviews

Publisher Comments:

This new edition presents a comprehensive look at combinatorial designs. It covers classical designs such as Latin squares, balanced incomplete block designs, and finite projective and affine planes as well as more contemporary designs that include one-factorizations, Room squares, tournament designs, and nested designs. The book features applications in cryptography, computer science, experimental design, communications theory, and more. With every topic, it includes instructive examples and theorems. The text also provides exercises in each section, select answers in the back of the book, and more complete solutions on the author's website.

Book News Annotation:

Wallis (mathematics, Southern Illinois U.) takes a rigorous but kindhearted approach to this popular study, and includes references to classical approaches that help advanced undergraduate readers and those who wish to study on their own get a solid background from the ground up. Wallis is also careful to take on contemporary designs based on applications in a variety of fields from the very beginning, in which he introduces balanced designs and finite geometries. He proceeds to difference sets and difference methods, the "main existence" theorem, Latin squares andorthognality, one-factorization and applications, Steiner triple systems, Kirkman triple systems, Hadamard matrices, room squares and advanced applications. This is a remarkably accessible treatment of a complex topic of study. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

This new edition presents a comprehensive look at combinatorial designs. It covers classical designs such as Latin squares, balanced incomplete block designs, and finite projective and affine planes as well as more contemporary designs that include one-factorizations, Room squares, tournament designs, and nested designs. The book features applications in cryptography, computer science, experimental design, communications theory, and more. With every topic, it includes instructive examples and theorems. The text also provides exercises in each section, select answers in the back of the book, and more complete solutions on the author's website.

Product Details

ISBN:
9781584888383
Author:
Wallis, W. D.
Publisher:
Chapman & Hall/CRC
Subject:
Combinatorics
Subject:
Combinatorial designs and configurations
Edition Number:
2
Series:
Discrete Mathematics & Its Application
Publication Date:
May 2007
Binding:
Hardcover
Language:
English
Illustrations:
Y
Pages:
311
Dimensions:
9.22x6.49x.88 in. 1.29 lbs.

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