Design Theory (Discrete Mathematics and Its Applications) - Hardcover

Lindner, Charles C.; Rodger, Christopher A.

 
9781420082968: Design Theory (Discrete Mathematics and Its Applications)
Hardcover
ISBN 10: 1420082965 ISBN 13: 9781420082968
Publisher: Chapman and Hall/CRC, 2014

Synopsis

Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics.

This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure mathematical ideas, including connections between universal algebra and graph designs.

The authors focus on several basic designs, including Steiner triple systems, Latin squares, and finite projective and affine planes. They produce these designs using flexible constructions and then add interesting properties that may be required, such as resolvability, embeddings, and orthogonality. The authors also construct more complicated structures, such as Steiner quadruple systems.

By providing both classical and state-of-the-art construction techniques, this book enables students to produce many other types of designs.

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About the Author

Charles C. Lindner, Christopher A. Rodger

"About this title" may belong to another edition of this title.

Publisher
Chapman and Hall/CRC
Publication date
2014
Language
English
ISBN 10 
1420082965
ISBN 13 
9781420082968
Binding
Hardcover
Edition number
2
Number of pages
284
Editor
Rosen Kenneth H.