Introduction to Combinatorial Designs
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

1137002813
Introduction to Combinatorial Designs
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

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Introduction to Combinatorial Designs

Introduction to Combinatorial Designs

by W.D. Wallis
Introduction to Combinatorial Designs
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Introduction to Combinatorial Designs

Introduction to Combinatorial Designs

by W.D. Wallis

Overview

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

Product Details

ISBN-13: 9781584888383
Publisher: Taylor & Francis
Publication date: 05/17/2007
Series: Discrete Mathematics and Its Applications
Edition description: REV
Pages: 328
Product dimensions: 6.12(w) x 9.19(h) x (d)

Table of Contents

Basic Concepts. Balanced Designs. Finite Geometries. Some Properties of Finite Geometries. Difference Sets and Difference Methods. More about Block Designs. The Main Existence Theorem. Latin Squares. More about Orthogonality. One-Factorizations. Applications of One-Factorizations. Steiner Triple Systems. Kirkman Triple Systems and Generalizations. Hadamard Matrices. Room Squares. Further Applications of Design Theory. References. Answers and Solutions. Index.
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