Introduction to Combinatorial Designs
Seiten
2007
|
2nd edition
Chapman & Hall/CRC (Verlag)
978-1-58488-838-3 (ISBN)
Chapman & Hall/CRC (Verlag)
978-1-58488-838-3 (ISBN)
Offers an introduction to the areas of design theory as well as to more contemporary designs based on applications in a variety of fields. This work also introduces balanced designs and finite geometries. It then delves into balanced incomplete block designs, covering difference methods, residual and derived designs, and resolvability.
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
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
Southern Illinois University, Carbondale, IL
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.
| Erscheint lt. Verlag | 17.5.2007 |
|---|---|
| Reihe/Serie | Discrete Mathematics and Its Applications |
| Zusatzinfo | 42 Illustrations, black and white |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 589 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 1-58488-838-5 / 1584888385 |
| ISBN-13 | 978-1-58488-838-3 / 9781584888383 |
| Zustand | Neuware |
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