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<図書>
Lie groups : a problem-oriented introduction via matrix groups

責任表示 Harriet Pollatsek
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



理系図3F 数理独自 POLL/45/1 2009
033212012002403

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
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

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