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
General
| Imprint: |
Chapman & Hall/CRC
|
| Country of origin: |
United States |
| Series: |
Discrete Mathematics and Its Applications |
| Release date: |
May 2007 |
| First published: |
May 2007 |
| Authors: |
W.D. Wallis
|
| Dimensions: |
234 x 156 x 22mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
327 |
| Edition: |
2nd edition |
| ISBN-13: |
978-1-58488-838-3 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Combinatorics & graph theory
|
| LSN: |
1-58488-838-5 |
| Barcode: |
9781584888383 |
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