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