书目名称 | Undergraduate Algebra | 副标题 | A Unified Approach | 编辑 | Matej Brešar | 视频video | | 概述 | Provides a rigorous yet intuitive and accessible introduction to abstract algebra.Treats conceptually similar themes from different areas of algebra in a unified manner.Includes numerous examples and | 丛书名称 | Springer Undergraduate Mathematics Series | 图书封面 |  | 描述 | .This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition..The book consists of two parts: .The Language of Algebra. and .Algebra in Action.. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal ideal domains, and Galois theory..Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.. | 出版日期 | Textbook 2019 | 关键词 | Algebra; Abstract Algebra; Groups; Rings; Fields; Polynomials; Integral domains; Modules; Sylow Theorems; Gal | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-14053-3 | isbn_softcover | 978-3-030-14052-6 | isbn_ebook | 978-3-030-14053-3Series ISSN 1615-2085 Series E-ISSN 2197-4144 | issn_series | 1615-2085 | copyright | Springer Nature Switzerland AG 2019 |
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