A first course in combinatorial mathematics
著者
書誌事項
A first course in combinatorial mathematics
(Oxford applied mathematics and computing science series)
Clarendon Press , Oxford University Press, 1989
2nd ed.
- : pbk
大学図書館所蔵 全29件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Bibliography: p. 131-132
Includes index
内容説明・目次
- 巻冊次
-
: pbk ISBN 9780198596738
内容説明
The spirit and aim of this book is to present a compact introduction to the basic combinatorial tools - such as recurrence relations, generating functions, incidence matrices, and the inclusion-exclusion principle - that will give the reader a flavour of the distinctive characteristics of this attractive and increasingly important branch of mathematics.
A studly of block designs is followed by a brief mention of applications to coding theory. In this new edition, Steiner triple systems are constructed and S(5,8,24) is obtained via the Golay code of length 24. The final chapter combines together the three combinatorial structures of the Leech lattice, the Golay codes, and Steiner systems. Also in this edition, an application of the marriage theorem to score sequences of tournaments has been included.
目次
- Introduction to basic ideas
- Selections and binomial coefficients
- Pairing problems
- Recurrence
- The inclusion-exclusion principle
- Block designs and error-correcting codes
- Steiner systems, sphere packings, and the Golay code
- Solutions to exercises
- Bibliography
- Index
- 巻冊次
-
ISBN 9780198596745
内容説明
This introduction to the basic combinatorial tools, such as recurrence relations, generating functions, incidence matrices and the inclusion-exclusion principle, has been designed to give readers a flavour of the distinctive characteristics of this branch of mathematics. The text contains a study of block designs, which is followed by a brief mention of their application to coding theory. In this new edition, Steiner triple systems are constructed and the three combinatorial structures of the Leech lattice, the Golay codes and Steiner systems are examined. The edition also includes an application of the marriage theorem to score sequences of tournaments.
目次
- Selections and binomial coefficients
- pairings problems
- recurrence
- the inclusion-exclusion principle
- block designs and error-correcting codes
- Steiner systems, sphere packings and the Golay code.
「Nielsen BookData」 より