<電子ブック>
Naive Lie Theory / by John Stillwell
(Undergraduate Texts in Mathematics. ISSN:21975604)
版 | 1st ed. 2008. |
---|---|
出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 2008 |
本文言語 | 英語 |
大きさ | XV, 217 p : online resource |
著者標目 | *Stillwell, John author SpringerLink (Online service) |
件 名 | LCSH:Topological groups LCSH:Lie groups FREE:Topological Groups and Lie Groups |
一般注記 | Geometry of complex numbers and quaternions -- Groups -- Generalized rotation groups -- The exponential map -- The tangent space -- Structure of Lie algebras -- The matrix logarithm -- Topology -- Simply connected Lie groups In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994) HTTP:URL=https://doi.org/10.1007/978-0-387-78214-0 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9780387782157 |
|
電子リソース |
|
EB00239258 |
類似資料
この資料の利用統計
このページへのアクセス回数:4回
※2017年9月4日以降