| 书目名称 | Galois Theory | | 编辑 | Steven H. Weintraub | | 视频video | | | 概述 | Concise and clear treatment of the subject.Stresses linear algebra approach.Presents further topics in field theory.Second edition includes expanded key chapter on transcendental extensions.Better for | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | This is a textbook on Galois theory. Galois theory has a well-deserved re- tation as one of the most beautiful subjects in mathematics. I was seduced by its beauty into writing this book. I hope you will be seduced by its beauty in reading it. This book begins at the beginning. Indeed (and perhaps a little unusually for a mathematics text), it begins with an informal introductory chapter, Ch- ter 1. In this chapter we give a number of examples in Galois theory, even before our terms have been properly de?ned. (Needless to say, even though we proceed informally here, everything we say is absolutely correct.) These examples are sort of an airport beacon, shining a clear light at our destination as we navigate a course through the mathematical skies to get there. Then we start with our proper development of the subject, in Chapter 2. We assume no prior knowledge of ?eld theory on the part of the reader. We develop ?eld theory, with our goal being the Fundamental Theorem of Galois Theory (the FTGT). On the way, we consider extension ?elds, and deal with the notions of normal, separable, and Galois extensions. Then, in the penul- mate section of this chapter, we reach our main goal, the | | 出版日期 | Textbook 2009Latest edition | | 关键词 | Algebra; Field Theory; Quadratic; Separable Extensions; Symmetric Functions; Transcendental Extensions; li | | 版次 | 2 | | doi | https://doi.org/10.1007/978-0-387-87575-0 | | isbn_softcover | 978-0-387-87574-3 | | isbn_ebook | 978-0-387-87575-0Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag New York 2009 |
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发表于 2025-3-21 19:07:16
