Mendeley出力
＜図書＞
Combinatorics and graph theory
| 責任表示 | John M. Harris, Jeffry L. Hirst, Michael J. Mossinghoff |
|---|---|
| シリーズ | Undergraduate texts in mathematics |
| データ種別 | 図書 |
| 出版者 | New York : Springer |
| 出版年 | c2000 |
| 本文言語 | 英語 |
| 大きさ | xiii, 225 p. : ill. ; 25 cm |
| 概要 | This book evolved from several courses in combinatorics and graph theory given at Appalachian State University and UCLA. Chapter 1 focuses on finite graph theory, including trees, planarity, coloring,...matchings, and Ramsey theory. Chapter 2 studies combinatorics, including the principle of inclusion and exclusion, generating functions, recurrence relations, P=lya theory, the stable marriage problem, and several important classes of numbers. Chapter 3 presents infinite pigeonhole principles, K÷nig's lemma, and Ramsey's theorem, and discusses their connections to axiomatic set theory. The text is written in an enthusiastic and lively style. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The text is primarily directed toward upper-division undergraduate students, but lower-division undergraduates with a penchant for proof and graduate students seeking an introduction to these subjects will also find much of interest. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6893140 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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|
理系図3F 数理独自 | HARR/35/1 | 2000 |
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023212000004146 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. [211]-217) and index |
|---|---|
| 著者標目 | *Harris, John M. (John Michael), 1969- Hirst, Jeffry L., 1957- Mossinghoff, Michael J., 1964- |
| 件 名 | LCSH:Combinatorial analysis LCSH:Graph theory |
| 分 類 | NDC9:411.22 LCC:QA165 DC21:511/.6 |
| 書誌ID | 1001390961 |
| ISBN | 0387987363 |
| NCID | BA47912391 |
| 巻冊次 | ISBN:0387987363 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |