抽象代数导论
Introduction to abstract algebra
W. Keith Nicholson · 初版 1999 年
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“作为经过实践检验的经典教材，本书新版对适合自学的抽象代数基本结构进行了系统、简洁且通俗易懂的阐述。第二版经过修订和打磨，即便只有初等大学代数基础的读者也能轻松入门；书中精巧平衡了群、环、域的内容配比，并运用现实世界中的实际问题来论证理论。对于科学家、工程师以及备考代数资格考试的学生而言，第二版《Introduction to Abstract Algebra》都是一部理想的学习资料，具有多项引人瞩目的特色。”——护封说明
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这是本非常棒的抽象代数入门书。强烈推荐。
This is a fantastic introduction to abstract algebra. Highly recommended.
……这里的证明会很难啃，但一定要硬着头皮做下来。这方面的书太多了，避开 Lang（好书，但不适合初学），Dummit/Foote 还行。我本科时读 Rotman 的《An introduction to abstract algebra》体验很不错。分析学——直接拿 Baby Rudin。不，说真的，拿起这本书，把自己关房间里一个学期，把它给TM读完。你基本上就是在“重构”微积分。这是一场试炼，冲吧！拓扑学——拿……
…Proofs will be difficult here but work through it. There are so many books here, avoid Lang (good book but not for starting out), Dummit/Foote is okay. As a undergrad I had a good time with Rotman's An introduction to abstract algebra. Analysis -- Grab Baby Rudin. No seriously, Grab this book, sit in a room for a semester and just fuckn' read it. You will basically be "redoing" calculus. This is a trial by fire, go! Topology -- Grab…
W. Keith Nicholson 的《Introduction to Abstract Algebra》从代数视角涵盖了数学里的很多不同主题。
W. Keith Nicholson's Introduction to Abstract Algebra covers a lot of different topics in mathematics from an algebraic perspective.
我不确定你能否找到任何“傻瓜式”（Made Easy）的抽象代数教材，不过我大学时的教材是 W. Keith Nicholson 写的《Introduction to Abstract Algebra》，供你参考。
Not sure that you'll find any "Made Easy"-type (abstract) algebra texts, but my college textbook was "Introduction to Abstract Algebra", by W. Keith Nicholson, for what it's worth.
……也就是说，群运算将被称作“加法”，我们将两个元素“相加”而不是“相乘”。我们写成 g + h 而不是 g • h 或 gh，并且用 ng 代替 g^n。[Walker, Elbert A., 《Introduction to Abstract Algebra》, 1987; Ch. 2, Pg. 70]
…That is, the group operation will be called "addition," and we will "add" two elements rather than "multiply" them. We write g + h instead of g • h or gh, and ng replaces g^n. [Walker, Elbert A., "Introduction to Abstract Algebra", 1987; Ch. 2, Pg. 70]
……把大部分线性代数都放在有限域上讲，而不仅仅是实数域和复数域；线性代数中的有限域在纠错码中非常重要。所以，那个有限域的内容是学习抽象代数的一个不错入门。如果是第一本线性代数书，我建议找本简单点的。我当年用的是 Murdoch 的《Linear Algebra for Undergraduates》。如果你能找到的话，它现在读来也还行。作为入门第一本书，很可能……
…does most of linear algebra on just finite fields, not just the real and complex fields; finite fields in linear algebra are important in error correcting codes. So, that finite field work is a good introduction to abstract algebra. For a first book on linear algebra, I'd recommend something easy. The one I used was Murdoch, Linear Algebra for Undergraduates. It's still okay if can find it. For a first book, likely the one…