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Titlebook: Galois Theory; Steven H. Weintraub Textbook 20061st edition Springer-Verlag New York 2006 Galois theory.Group theory.algebra.finite field.

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樓主
發(fā)表于 2025-3-21 17:45:03 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Galois Theory
編輯Steven H. Weintraub
視頻videohttp://file.papertrans.cn/381/380420/380420.mp4
概述Concise and clear treatment of the subject.Stresses linear algebra approach.Author is experienced writer
叢書名稱Universitext
圖書封面Titlebook: Galois Theory;  Steven H. Weintraub Textbook 20061st edition Springer-Verlag New York 2006 Galois theory.Group theory.algebra.finite field.
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
關(guān)鍵詞Galois theory; Group theory; algebra; finite field; number theory
版次1
doihttps://doi.org/10.1007/0-387-28917-8
isbn_ebook978-0-387-28917-5Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer-Verlag New York 2006
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沙發(fā)
發(fā)表于 2025-3-21 22:00:32 | 只看該作者
Pragmatism and the Value of Truth,We begin by defining the objects we will be studying.
板凳
發(fā)表于 2025-3-22 02:23:12 | 只看該作者
Regional Markets and Trade RoutesWe now apply our general theory to the case of symmetric functions. We let . be an arbitrary field and set .(.,?, .), the field of rational functions in the variables .,?, .. Then the symmetric group . acts on . by permuting .,?,
地板
發(fā)表于 2025-3-22 05:40:38 | 只看該作者
Air Charter and the Warsaw ConventionIn this section we deal with a number of questions about polynomials in .[.] related to factorization and irreducibility.
5#
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6#
發(fā)表于 2025-3-22 15:18:23 | 只看該作者
Introduction to Galois Theory,In this section we will proceed informally, neither proving our claims nor even carefully defining our terms. Nevertheless, as you will see in the course of reading this book, everything we say here is absolutely correct. We proceed in this way to show in advance what our main goals are, and hence to motivate our development.
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發(fā)表于 2025-3-23 01:21:46 | 只看該作者
Extensions of the field of Rational Numbers,In this section we deal with a number of questions about polynomials in .[.] related to factorization and irreducibility.
10#
發(fā)表于 2025-3-23 08:19:54 | 只看該作者
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