Design Theory

D. R. Hughes; F. Piper

doi:10.1017/CBO9780511566066

Design theory has grown to be a subject of considerable interest in mathematics, not only in itself, but for its connections to other fields such as geometry, group theory, graph theory and coding theory. This textbook, first published in 1985, is intended to be an accessible introduction to the subject for advanced undergraduate and beginning graduate students which should prepare them for research in design theory and its applications. The first four chapters of the book are designed to be the core of any course in the subject, while the remaining chapters can be utilized in more advanced or longer courses. The authors assume some knowledge of linear algebra for the first half of the book, but for the second half, students need further background in algebra.

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Design Theory

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Introduction
pp vii-viii

1 - Basic concepts
pp 1-51

2 - Symmetric designs
pp 52-82

3 - Some families of symmetric designs
pp 83-126

4 - 3-Designs and related topics
pp 127-152

5 - Resolutions
pp 153-172

6 - Other 2-designs
pp 173-184

7 - Some 1-designs
pp 185-211

8 - The large Mathieu designs
pp 212-236

List of abbreviations
pp 237-237

Index
pp 238-240

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Design Theory

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