| 书目名称 | Naive Lie Theory | | 编辑 | John Stillwell | | 视频video | | | 概述 | Makes some basic Lie theory accessible.Unique choice of approach and topics.Introduces an advanced topic to undergraduates, at just the right pace.Author includes exercises and examples.Includes suppl | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 描述 | .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).. | | 出版日期 | Textbook 2008 | | 关键词 | Matrix; Symmetry group; algebra; lie algebra; lie group; linear algebra; matrices; number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-78214-0 | | isbn_softcover | 978-1-4419-2681-4 | | isbn_ebook | 978-0-387-78215-7Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York 2008 |
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发表于 2025-3-21 18:22:43
