https://www.amazon.com/Algebra-Classic-Classics-Advanced-Mathematics-dp-0134689607/dp/0134689607/ref=mt_paperback?_encoding=UTF8&me=&qid=I have the first edition from 1990 in front of me. I don't think I held this book in my hand before.
Artin cites Birkhoff, MacLane and van der Waerden as his influences.
Looks very slow going, at least in the beginning, and he writes one should go to chapter 5 quickly, where it gets interesting - that chapter is called Symmetry.
He writes in the introduction he wants to focus on matrix groups instead of permutation groups in this text. As well as on lattices.
He highlights in that it contains talk about the Todd-Coexter-algorithm as well as PSL_2.
https://en.wikipedia.org/wiki/Todd%E2%80%93Coxeter_algorithmhttps://en.wikipedia.org/wiki/Projective_linear_groupHe writes he doesn't cover dual spaces, which I find a bit shocking. On the other hand, it deals with SU(2) in more detai (as seen on the cover).
Ring theory and number theoretical topics are found in the second half of the book.
One of my motivations is to maybe implement some of the algorithms - I tend to use Python (but also C++, Mathematica or Haskell/Idris). I'd actually like more about (semi-)rings, but that's only late in this book.
Chapter 1. is about matrices.
Multiplicative structure, row reduction, determinants, permutations, Cramers rule.
https://en.wikipedia.org/wiki/Cramer%27s_ruleThere's about 50 exercises at the end of the chapter, but some are really just understanding-checks without work.
Chapter 2., at page 40 in my edition, is then about the definition of groups.
>>10918765I have a week of vacation, so I figured it's a good way. The book wasn't my idea but it looks for a soft enough while nontrivial enough angle to get some traction. Best someone (I may do some) post the exercises and people may respond with a capital letter spoiler tag or something.
>>10918748I'm a physishit from Vienna
