期刊全称 | Algebra | 期刊简称 | From the Viewpoint o | 影响因子2023 | Siegfried Bosch | 视频video | | 发行地址 | 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 | 学科分类 | Birkhäuser Advanced Texts‘ Basler Lehrbücher | 图书封面 |  | 影响因子 | .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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