抽象代数基础教程

Hacker News 上怎么说

• ashu · 2008 年

  我很喜欢 Fraleigh 写的《A First Course in Abstract Algebra》。不过是挺久以前看的了，所以我不太记得里面到底有没有习题答案了。[编辑]：还有 Michael Artin 的《Algebra》，那本有点晦涩（肯定没有……

  I loved "A First Course in Abstract Algebra" by Fraleigh. It was a while ago, so I don't quite remember whether it had solutions for the exercises or not. [edit]: There's also Michael Artin's "Algebra" which is somewhat dense (certainly without…

• mlevental · 2019 年

  这推荐太离谱了。这两本根据你所在的地方不同，要么是研究生教材要么是本科高年级教材。更好的推荐是 Pinter 写的《A Book of Abstract Algebra》（真的很平易近人），或者是 Fraleigh 写的《A First Course in Abstract Algebra》

  goofy suggestion. those are both either grad or senior undergrad books depending on where you are. much better suggestion is A Book of Abstract Algebra by Pinter (really gentle) or A First Course in Abstract Algebra by Fraleigh

• nandemo · 2019 年

  我最喜欢的抽象代数教材是 Fraleigh 的《A First Course in Abstract Algebra》。不像这里的文章只会给你硬塞一堆定义，这本书在引入每个结构时都给出了合理的动机。不过它不是 CS 路线的书。https://www.amazon.com/First-Course-Abstract-Algebra-7th/dp/...…

  My favourite abstract algebra textbook is Fraleigh's A First Course in Abstract Algebra. Unlike the article here, which just dumps you a bunch of definitions, the book introduces each structure with proper motivation. It's not a CS approach though. https://www.amazon.com/First-Course-Abstract-Algebra-7th/dp/...…

• ubasu · 2010 年

  ……《Finite-Dimensional Vector Space》（Paul Halmos）2. 《Linear Algebra Done Right》（Steven Axler） 实分析 1. 《Real Mathematical Analysis》（Charles Pugh）2. 《Introduction to Analysis》（Maxwell Rosenlicht） 代数 1. 《A first course in abstract algebra》（John Fraleigh） 与 Rudin 或 Herstein 这类经典相比，这些书更适合自学。这些够你忙活一阵子的了。

  …Finite-Dimensional Vector Space (Paul Halmos) 2. Linear Algebra Done Right (Steven Axler) Real Analysis 1. Real Mathematical Analysis (Charles Pugh) 2. Introduction to Analysis (Maxwell Rosenlicht) Algebra 1. A first course in abstract algebra (John Fraleigh) These books are better for self-directed reading compared to some of the classics like Rudin or Herstein. These should keep you busy for a while.

• lockjawh · 2016 年

  ……理论。唯一能挑出的毛病就是它是写给数学家看的。对于（数学成熟度方面）更“低阶”的学生来说，一本更合适的书是 John B. Fraleigh 的《A First Course In Abstract Algebra》。

  …theory. The only complaint one could make is that it's written for mathematicians. A more appropriate book for "lower level" students (in terms of mathematical maturity) would be John B. Fraleigh's "A First Course In Abstract Algebra".

• mirceam · 2019 年

  ……把下面这几本书从头到尾读完，但我在需要学习或搞清某个概念时会翻翻它们：> 群论 - 我会找一本也涵盖群论的优质抽象代数书，比如 Fraleigh 的《A First Course in Abstract Algebra》，或者 Knapp 的《Basic Algebra》。另一个很热门的推荐是 Dummit 和 Foote 的《Abstract Algebra》。> 拓扑 我觉得你应该先去学一门实分析课程，搞懂度量空间……

  …through the following books entirely, however I've used them when needed to learn or clarify a concept: > Group Theory - I would look for a good abstract algebra book that also covers groups, such as A First Course in Abstract Algebra, Fraleigh or Basic Algebra, Knapp. Another popular recommendation is Abstract Algebra, Dummit and Foote. > Topology I think you should first look at a real analysis course and understand metric space…

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