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Titlebook: Algebra; From the Viewpoint o Siegfried Bosch Textbook 2018 Springer Nature Switzerland AG 2018 algebraic equation.field extension.algebrai

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樓主
發(fā)表于 2025-3-21 19:15:20 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Algebra
期刊簡稱From the Viewpoint o
影響因子2023Siegfried Bosch
視頻videohttp://file.papertrans.cn/153/152442/152442.mp4
發(fā)行地址Combines the standard material on algebraic field extensions with some related but advanced topics.Each chapter starts with a motivating introduction and ends with a set of specially adapted exercises
學(xué)科分類Birkh?user Advanced Texts‘ Basler Lehrbücher
圖書封面Titlebook: Algebra; From the Viewpoint o Siegfried Bosch Textbook 2018 Springer Nature Switzerland AG 2018 algebraic equation.field extension.algebrai
影響因子.The material presented here can be divided into two parts. The first, sometimes referred to as abstract algebra, is concerned with the general theory of algebraic objects such as groups, rings, and fields, hence, with topics that are also basic for a number of other domains in mathematics. The second centers around Galois theory and its applications. Historically, this theory originated from the problem of studying algebraic equations, a problem that, after various unsuccessful attempts to determine solution formulas in higher degrees, found its complete clarification through the brilliant ideas of E. Galois..The study of algebraic equations has served as a motivating terrain for a large part of abstract algebra, and according to this, algebraic equations are visible as a guiding thread throughout the book. To underline this point, an introduction to the history of algebraic equations is included..The entire book is self-contained, up to a few prerequisites from linear algebra. It covers most topics of current algebra courses and is enriched by several optional sections that complement the standard program or, in some cases, provide a first view on nearby areas that are more advan
Pindex Textbook 2018
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書目名稱Algebra影響因子(影響力)




書目名稱Algebra影響因子(影響力)學(xué)科排名




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書目名稱Algebra網(wǎng)絡(luò)公開度學(xué)科排名




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書目名稱Algebra年度引用




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沙發(fā)
發(fā)表于 2025-3-21 22:02:28 | 只看該作者
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Praxis der Wirtschaftsinformatik was discovered that algebraic irrational numbers make up only a “very small” part of the realm of all irrational numbers, i.e., that most of them will not satisfy a nontrivial algebraic equation with coefficients in .. Such numbers were called ..
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1019-6242 roduction and ends with a set of specially adapted exercises.The material presented here can be divided into two parts. The first, sometimes referred to as abstract algebra, is concerned with the general theory of algebraic objects such as groups, rings, and fields, hence, with topics that are also
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發(fā)表于 2025-3-22 19:12:17 | 只看該作者
Arbeitsebenen in FileMaker Pro, the problem that motivated E. Galois to work out his “Galois” theory. In particular, we show for a monic separable polynomial . with coefficients in a field . that the algebraic equation .(.)?=?0 is solvable by radicals if and only if the corresponding Galois group is solvable in the group-theoretic sense.
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發(fā)表于 2025-3-23 00:11:22 | 只看該作者
Applications of Galois Theory, the problem that motivated E. Galois to work out his “Galois” theory. In particular, we show for a monic separable polynomial . with coefficients in a field . that the algebraic equation .(.)?=?0 is solvable by radicals if and only if the corresponding Galois group is solvable in the group-theoretic sense.
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Elementary Group Theory,us, serving as a key tool for the investigation of algebraic equations. From a simplified point of view, Galois groups are permutation groups, i.e., groups whose elements describe bijective transformations (self-maps) on sets like {1, …, .}.
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