
Algebra
by Michael Artin · first published 2009
6mentions
4recommended by
6HN commenters
2011–2022first – last mentioned
67% recommend33% neutral
"Algebra, Second Edition, by Michael Artin, is ideal for the honors undergraduate or introductory graduate course. The second edition of this classic text incorporates twenty years of feedback and the author's own teaching experience. The text discusses concrete topics of algebra in greater detail than most texts, preparing students for the more abstract concepts; linear algebra is tightly integrated throughout." -- Publisher's description.
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…but extremely rewarding for the people who take the time and effort to go through it. I'd recommend the following three books to similarly cover the three main areas of higher mathematics (analysis, algebra, and topology): 1. Principles of Mathematical Analysis by Rudin (http://www.amazon.com/Principles-Mathematical-Analysis-Inter...) 2. Algebra by Artin (http://www.amazon.com/Algebra-2nd-Featured-Titles-Abstract/d...)…
on “Ask HN: Math books like SICP?” ↗I also recommend Algebra by Michael Artin--but it isn't free, unfortunately.
on “Abstract Algebra: Theory and Applications (A Free Textbook)” ↗This is usually part of an introductory undergrad course in algebra. What you're looking for is called "ring theory". Michael Artin's Algebra is a good, concrete book with tons of motivation and zero prerequisites. Wanna try it? ;)
on “Why isn’t the fundamental theorem of arithmetic obvious? (2011)” ↗Understanding Analysis by Stephen Abbott and Algebra by Michael Artin.
on “Ask HN: Math books you recommend just for the way they are written?” ↗Thanks for both references. It's been a while since I studied algebra in college and I'm hoping to get back into it and solidify my understanding. What do you think of Artin's Algebra? http://www.amazon.com/Algebra-2nd-Michael-Artin/dp/013241377...
on “Visual Group Theory” ↗…to have features that make self-study a lot easier, and do sometimes have different chapters. For example, I have both the international/Indian version and the North American version of Michael Artin's Algebra second edition in front of me. The international edition is missing a preface (I like those because they give you some insight into the author's point of view and approach), doesn't have solutions in…
on “You might literally be buying trash on Amazon” ↗