<図書>
Lie groups : a problem-oriented introduction via matrix groups
責任表示 | Harriet Pollatsek |
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シリーズ | MAA textbooks |
データ種別 | 図書 |
出版情報 | [Washington, D.C.] : Mathematical Association of America , c2009 |
本文言語 | 英語 |
大きさ | xii, 177 p. : ill. ; 27 cm |
概要 | Can be used as supplementary reading in a linear algebra course, or as a primary text in a "bridge" course that helps students make the transition to courses that emphasize definition and proofs, as w...ll as for an upper level elective. The work of the Norwegian mathematician Sophus Lie extends ideas of symmetry and leads to many applications in mathematics and physics. Ordinarily, the study of the "objects" in Lie's theory (Lie groups and Lie algebras) requires extensive mathematical prerequisites beyond the reach of the typical undergraduate. By restricting to the special case of matrix Lie groups and relying on ideas from multivariable calculus and linear algebra, this lovely and important material becomes accessible even to college sophomores. Working with Lie's ideas fosters an appreciation of the unity of mathematics and the sometimes surprising ways in which mathematics provides a language to describe and understand the physical world. Lie Groups is an active learning text that can be used by students with a range of backgrounds and interests. The material is developed through 200 carefully chosen problems. This is the only book in the undergraduate curriculum to bring this material to students so early in their mathematical careers. Book jacket.続きを見る |
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 | POLL/45/1 | 2009 |
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033212012002403 |
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書誌詳細
別書名 | 異なりアクセスタイトル:Lie groups : a problem oriented introduction via matrix groups |
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一般注記 | Includes bibliographical references (p. 169-170) and index |
著者標目 | *Pollatsek, Harriet |
件 名 | LCSH:Lie groups LCSH:Lie groups -- Problems, exercises, etc 全ての件名で検索 LCSH:Matrix groups |
分 類 | DC22:512.482 |
書誌ID | 1001479710 |
ISBN | 9780883857595 |
NCID | BA91807603 |
巻冊次 | ISBN:9780883857595 |
NBN | 015357301 |
登録日 | 2012.06.27 |
更新日 | 2012.06.27 |