Combinatorial Designs: Constructions and Analysis 1st Edition by Douglas R. Stinson (PDF)

Description

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, mutual 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. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book was used for a one semester course in design theory I took at the graduate level. The sequential progression of the book makes good sense and there are many variations on the same themes. Techniques used in proofs and constructions will often reappear at a later point in the text so in a sense, you get the most out of the things you master. The text itself reads well and has a good number of illustrative examples. At the beginning of the book, the exercises were fairly computational, but later on they became mostly proofs. Our problem sets did not consist of many from the book, but the ones we did were interesting. No solutions are provided in the text, but in this subject it is fairly easy to verify your answers on your own.A suitably fast paced course can comfortably cover the first 8 chapters with some time to spare for papers or presentations at the end.The reader considering this book for self study should consider brushing up on finite fields before diving in.

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