Mendeley出力
＜図書＞
Advanced integration theory
| 責任表示 | by Corneliu Constantinescu ... [et al.] |
|---|---|
| シリーズ | Mathematics and its applications ; v. 454 |
| データ種別 | 図書 |
| 出版情報 | Dordrecht : Kluwer Academic Publishers , c1998 |
| 本文言語 | 英語 |
| 大きさ | ix, 861 p. ; 25 cm |
| 概要 | This book gives a general definition of the (abstract) integral using the Daniell method. A consequence of this approach is that integration theory on Hausdorff topological spaces appears to be a spe...ial case of abstract integration theory. The theory of vector lattices is presented, since it is a tool for the development of the abstract theory. Its consequent application not only yields new insight into integration theory, but also simplifies many proofs. For example, the space of real-valued measures on a d-ring turns out to be an order complete vector lattice, which permits a coherent development of the theory and the elegant derivation of many classical and new results. Exercises accompany each section. For graduate students and researchers. Annotation copyrighted by Book News, Inc., Portland, OR続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6873281 |
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 | CONS/30/4 | c1998 |
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023211998007101 |
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書誌詳細
| 一般注記 | Includes indexes |
|---|---|
| 著者標目 | *Constantinescu, Corneliu |
| 件 名 | LCSH:Integrals, Generalized LCSH:Measure theory |
| 分 類 | LCC:QA312 DC21:515/.42 |
| 書誌ID | 1001394454 |
| ISBN | 0792352343 |
| NCID | BA38873120 |
| 巻冊次 | ISBN:0792352343 |
| 登録日 | 2009.11.02 |
| 更新日 | 2009.11.02 |