Design Theory: 6 (Discrete Mathematics and Its Applications) - Hardcover

Lindner, Charles C.; Rodger, Christopher A.

Hardcover

ISBN 10: 0849339863 ISBN 13: 9780849339868

Publisher: CRC Press, 1997

Synopsis

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 Combinatorial Design Theory. The text features clear explanations of basic designs such as Steiner and Kirkman triple systems, mutually 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. The many illustrations aid in understanding and enjoying the application of the constructions described. Written by professors with the needs of students in mind, this is destined to become the standard textbook for design theory.

About this title

Review

Design Theory is exploring an area in combinatorics that concerns the conditions for existence of several important block designs and methods to construct them. It explains these techniques in good detail and accompanies the theory with helpful illustrations that serve their purpose admirably. The material of this book has been carefully ordered and results, theorems and constructions build successively on previously presented definitions and explanations ... a helpful addition to any combinatorist’s library and provides a nice introduction to block design construction techniques, with a collection of carefully selected and effectively presented topics.
―Dimitris Papamichail, SIGACT News, December 2011

About the Author

Auburn University, Alabama, USA Monmouth University, Middletown, New Jersey, USA

Edition details

• Publisher: CRC Press
• Publication date: 1997
• Language: English
• ISBN 10: 0849339863
• ISBN 13: 9780849339868
• Binding: Hardcover
• Edition number: 1
• Number of pages: 208