| 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.Author is experienced writer | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .Classical Galois theory is a subject generally acknowledged to be one of the most central and beautiful areas in pure mathematics. This text develops the subject systematically and from the beginning, requiring of the reader only basic facts about polynomials and a good knowledge of linear algebra. ..Key topics and features of this book:..- Approaches Galois theory from the linear algebra point of view, following Artin..- Develops the basic concepts and theorems of Galois theory, including algebraic, normal, separable, and Galois extensions, and the Fundamental Theorem of Galois Theory..- Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity..- Excellent motivaton and examples throughout..The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. Whil | | 出版日期 | Textbook 20061st edition | | 关键词 | Galois theory; Group theory; algebra; finite field; number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/0-387-28917-8 | | isbn_ebook | 978-0-387-28917-5Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer-Verlag New York 2006 |
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发表于 2025-3-21 17:45:03
