<図書>
Advanced linear algebra
責任表示 | Steven Roman |
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シリーズ | Graduate texts in mathematics ; 135 |
データ種別 | 図書 |
版 | 2nd ed |
出版情報 | New York : Springer , c2005 |
本文言語 | 英語 |
大きさ | xvi, 482 p. : ill. ; 24 cm |
概要 | This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, l...near transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with many important applications.続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/6981266 |
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 | SER/GTM/135a | 2005 |
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023212005000027 |
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理系図3F 数理独自 | ROMA/15/3a | 2005 |
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023212005000030 |
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書誌詳細
一般注記 | Includes bibliographical references (p. [473]-474) and index |
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著者標目 | *Roman, Steven |
件 名 | LCSH:Algebras, Linear |
分 類 | LCC:QA184.2 DC22:512/.5 |
書誌ID | 1001235868 |
ISBN | 0387247661 |
NCID | BA71798598 |
巻冊次 | ISBN:0387247661 |
登録日 | 2009.09.18 |
更新日 | 2017.02.18 |