Design theory

著者

• Beth, Thomas
• Jungnickel, D. (Dieter)
• Lenz, Hanfried

書誌事項

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

注記

Bibliography: p. 1013-1092

Includes index

内容説明・目次

巻冊次

v. 1 ISBN 9780521444323

内容説明

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.

目次

• 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.

巻冊次

v. 2 ISBN 9780521772310

内容説明

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.

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA43912913
• ISBN:
  • 0521444322
  • 0521772311
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: 2 v. (xix, 1100 p.)
• 大きさ: 24 cm
• 分類:
  • LCC : QA166.25
  • DC19 : 511/.6
• 件名:
  • LCSH : Combinatorial designs and configurations
• 親書誌ID:
  • BA00064663