Combinatorial Designs Construction and Analysis

ISBN-10: 0387954872
ISBN-13: 9780387954875
Edition: 2004
List price: $124.00 Buy it from $20.27
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Description: 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 combinatiorial design theory. The text features clear  More...

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Book details

List price: $124.00
Copyright year: 2004
Publisher: Springer
Publication date: 10/17/2003
Binding: Hardcover
Pages: 300
Size: 6.25" wide x 9.50" long x 0.75" tall
Weight: 1.100
Language: English

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 combinatiorial 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 in computer science, applied math, combinatorics, and applied statistics will find the book an essential resource.

Craig Stinson is a journalist and author. He has written or coauthored more than 20 books including Windows Vista� Inside Out, Deluxe Edition and Microsoft� Office Excel� 2007 Inside Out.

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

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