Introduction to Combinatorial Designs (Discrete Mathematics and Its Applications) - Hardcover

Book 26 of 67: Discrete Mathematics and Its Applications

Wallis, W.D.

 
9781584888383: Introduction to Combinatorial Designs (Discrete Mathematics and Its Applications)
Hardcover
ISBN 10: 1584888385 ISBN 13: 9781584888383
Publisher: Chapman and Hall/CRC, 2007

Synopsis

Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields.

After an overview of basic concepts, the text introduces balanced designs and finite geometries. The author then delves into balanced incomplete block designs, covering difference methods, residual and derived designs, and resolvability. Following a chapter on the existence theorem of Bruck, Ryser, and Chowla, the book discusses Latin squares, one-factorizations, triple systems, Hadamard matrices, and Room squares. It concludes with a number of statistical applications of designs.

Reflecting recent results in design theory and outlining several applications, this new edition of a standard text presents a comprehensive look at the combinatorial theory of experimental design. Suitable for a one-semester course or for self-study, it will prepare readers for further exploration in the field.

To access supplemental materials for this volume, visit the author’s website at http://www.math.siu.edu/Wallis/designs

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

About the Author

W.D. Wallis

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

Publisher
Chapman and Hall/CRC
Publication date
2007
Language
English
ISBN 10 
1584888385
ISBN 13 
9781584888383
Binding
Hardcover
Edition number
2
Number of pages
328