Mendeley出力
＜図書＞
Algebraic and differential topology
| 責任表示 | translated from the Russian by P.S.V. Naidu |
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| シリーズ | Classics of Soviet mathematics ; . L.S. Pontryagin selected works / edited by R.V. Gamkrelidze ; v. 3 |
| データ種別 | 図書 |
| 出版情報 | New York ; Tokyo : Gordon and Breach Science Publishers , c1986 |
| 本文言語 | 英語 |
| 大きさ | xxii, 252 p. ; 24 cm |
| 概要 | Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discuss...s the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field. Among the finest achievements in modern mathematics are two of L.S. Pontryagin's most notable contributions: Pontryagin duality and his general theory of characters of a locally compact commutative group. This book, the first in a four-volume set, contains the most important papers of this eminent mathematician, those which have influenced many generations of mathematicians worldwide. They chronicle the development of his work in many areas, from his early efforts in homology groups, duality theorems, and dimension theory to his later achievements in homotopic topology and optimal control theory. 続きを見る |
| 目次 | Foundations of algebraic topology Smooth manifolds and their applications in homotopy theory. |
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 | PONT/10/K1-3 | 1986 |
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068252187008495 |
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理系図 自動書庫 | 410.8/P 79/1(3) | 1986 |
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068582189023536 |
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書誌詳細
| 別書名 | 原タイトル:Основы комбинаторной 原タイトル:Гладкие многообразия и их применения в теории гомотопий |
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| 一般注記 | Pt. 1 of this book was orginally published in Russian as Основы комбинаторной and pt. 2 as Гладкие многообразия и их применения в теории гомотопий by Izdatel'stvo Nauka, Glavnaya redaktsiya fizikomatematicheskoĭ literatury, Moscow, both in 1976 Bibliography: p. 251-252 |
| 著者標目 | *Pontri︠a︡gin, L. S. (Lev Semenovich), 1908- Naidu, P. S. V. Gamkrelidze, Revaz Valerianovich, 1908- |
| 件 名 | LCSH:Algebraic topology LCSH:Differential topology LCSH:Mathematics -- Collected works 全ての件名で検索 LCSH:Topology -- Collected works 全ての件名で検索 LCSH:Mathematical optimization -- Collected works 全ての件名で検索 |
| 分 類 | LCC:QA3 LCC:QA612 DC19:510 s DC19:514/.2 |
| 書誌ID | 1001055226 |
| ISBN | 2881240356 |
| NCID | BA00443253 |
| 巻冊次 | ISBN:2881240356 : set ; ISBN:2881241344 |
| 登録日 | 2009.09.17 |
| 更新日 | 2009.11.02 |