Design theory  v. 1 ~ v. 2

Thomas Beth, Dieter Jungnickel, Hanfried Lenz

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.

「Nielsen BookData」より

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.

「Nielsen BookData」より

[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

[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.

「Nielsen BookData」より

この本の情報

書名 Design theory
著作者等 Beth, Thomas
Jungnickel, D.
Lenz, Hanfried
Lenz H. Freie (Universitat Berlin)
Jungnickel D.
シリーズ名 Encyclopedia of mathematics and its applications
巻冊次 v. 1
v. 2
出版元 Cambridge University Press
刊行年月 1999
版表示 2nd ed
ページ数 2 v. (xix, 1100 p.)
大きさ 24 cm
ISBN 0521772311
0521444322
NCID BA43912913
※クリックでCiNii Booksを表示
言語 英語
出版国 イギリス
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