Design theory

Author(s)

Bibliographic Information

Design theory

Thomas Beth, Dieter Jungnickel, Hanfried Lenz

（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 69, 78）

Cambridge University Press, 1999

2nd ed

  • v. 1
  • v. 2

Available at  / 85 libraries

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Note

Bibliography: p. 1013-1092

Includes index

Description and Table of Contents

Volume

v. 1 ISBN 9780521444323

Description

This is the first volume of the second edition of the standard text on design theory. Since the first edition there has been extensive development of the theory and this book has been thoroughly rewritten and extended during that time. In particular the growing importance of discrete mathematics to many parts of engineering and science have made designs a useful tool for applications. It is suitable for advanced courses and as a reference work, not only for researchers in discrete mathematics or finite algebra, but also for those working in computer and communications engineering and other mathematically oriented disciplines. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.

Table of Contents

  • 1. Examples and basic definitions
  • 2. Combinatorial analysis of designs
  • 3. Groups and designs
  • 4. Witt designs and Mathieu groups
  • 5. Highly transitive groups
  • 6. Difference sets and regular symmetric designs
  • 7. Difference families
  • 8. Further direct constructions.
Volume

v. 2 ISBN 9780521772310

Description

This is the concluding volume of the second edition of the standard text on design theory. Since the first edition there has been extensive development of the theory and this book has been thoroughly rewritten to reflect this. In particular the growing importance of discrete mathematics to many parts of engineering and science have made designs a useful tool for applications, and this fact has been acknowledged here with the inclusion of an additional chapter on applications. It is suitable for advanced courses and as a reference work, not only for researchers in discrete mathematics or finite algebra, but also for those working in computer and communications engineering and other mathematically oriented disciplines. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.

Table of Contents

  • 9. Recursive constructions
  • 10. Transversal designs and nets, continued
  • 11. Asymptotic existence theory
  • 12. Characterisation of classical designs
  • 13. Applications of designs
  • Appendix: Tables.

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