Design Theory
eBook - PDF

Design Theory

  1. 272 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

About this book

Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics.

This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure mathematical ideas, including connections between universal algebra and graph designs.

The authors focus on several basic designs, including Steiner triple systems, Latin squares, and finite projective and affine planes. They produce these designs using flexible constructions and then add interesting properties that may be required, such as resolvability, embeddings, and orthogonality. The authors also construct more complicated structures, such as Steiner quadruple systems.

By providing both classical and state-of-the-art construction techniques, this book enables students to produce many other types of designs.

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Yes, you can access Design Theory by Charles C. Lindner,Christopher A. Rodger in PDF and/or ePUB format, as well as other popular books in Mathematics & Operating Systems. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front cover
  2. Dedication
  3. Preface
  4. Acknowledgments
  5. About the Authors
  6. List of Figures
  7. Contents
  8. Chapter 1. Steiner Triple Systems
  9. Chapter 2. λ-Fold Triple Systems
  10. Chapter 3. Quasigroup Identities and Graph Decompositions
  11. Chapter 4. Maximum Packings and Minimum Coverings
  12. Chapter 5. Kirkman Triple Systems
  13. Chapter 6. Mutually Orthogonal Latin Squares
  14. Chapter 7. Affine and Projective Planes
  15. Chapter 8. Intersections of Steiner Triple Systems
  16. Chapter 9. Embeddings
  17. Chapter 10. Steiner Quadruple Systems
  18. Appendices
  19. A. Cyclic Steiner Triple Systems
  20. B. Answers to Selected Exercises
  21. References
  22. Back cover