Abstract Algebra: Theory and Applications (A Free Textbook)
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Abstract Algebra: Theory and Applications (A Free Textbook)
1–10 of 13 posts
Re: Abstract Algebra: Theory and Applications (A Free Textbook)
#2Another nice Math textbook - really solid presentation.
Re: Abstract Algebra: Theory and Applications (A Free Textbook)
#3I tried and quickly stumbled learning abstract algebra from this book. I liked "A Book of Abstract Algebra" by Pinter better because it was lighter on the presentation. But maybe I'm just a wimp. This text by Judson seems to be geared towards graduate studens. From what I can tell it's very thorough, though.
Re: Abstract Algebra: Theory and Applications (A Free Textbook)
#4I tried and quickly stumbled learning abstract algebra from this book. I liked "A Book of Abstract Algebra" by Pinter better because it was lighter on the presentation. But maybe I'm just a wimp. This text by Judson seems to be geared towards graduate studens. From what I can tell it's very thorough, though.
I haven't tried learning from it, but it doesn't seem to be higher level than Fraleigh's classic book on Abstract Algebra, which I use and is intended for undergraduates.
Re: Abstract Algebra: Theory and Applications (A Free Textbook)
#5I just gave this a cursory glance, and I have to say I'm impressed.
Anyone studying CS could benefit from this book.
Re: Abstract Algebra: Theory and Applications (A Free Textbook)
#6I also recommend Algebra by Michael Artin--but it isn't free, unfortunately.
Re: Abstract Algebra: Theory and Applications (A Free Textbook)
#7Is anyone here applying abstract algebra to technology projects which might interest us HN readers?
I studied it as an undergraduate; when I think about applications I've found in technology work and computer science, the following spring to mind:
* Linear algebra -- obviously very useful, although not everyone would consider it abstract enough to lump under abstract algebra. * The structural side (category theory, universal algebra etc) very useful for grokking theoretical computer science * Lattices, order theory, boolean algebras etc -- also very useful for computer science, but perhaps tending a bit away from algebra and towards logic.
I'm not sure I've really wielded in anger any non-trivial theorems from the theory of groups and rings though. Maybe a little bit of basic group theory. But perhaps I've lead a boring life. Interested to hear what people are doing with it in the tech / comp sci field :)
(Crypto, I guess, is one important area. And the 'patch algebra' of the darcs VCS was another interesting application I spotted)
Re: Abstract Algebra: Theory and Applications (A Free Textbook)
#8Is anyone here applying abstract algebra to technology projects which might interest us HN readers? I studied it as an undergraduate; when I think about applications I've found in technology work and computer science, the following spring to mind: * Linear algebra -- obviously very useful, although not everyone would consider it abstract enough to lump under abstract algebra. * The structural side (category theory, u…
Not me of course, but Armstrong began Erlang by writing an algebra for telephony exchanges.
Codd wrote an algebra for relations.
Thompson implemented Kleene's regular expressions (notated with an algebra).
Re: Abstract Algebra: Theory and Applications (A Free Textbook)
#9Is anyone here applying abstract algebra to technology projects which might interest us HN readers? I studied it as an undergraduate; when I think about applications I've found in technology work and computer science, the following spring to mind: * Linear algebra -- obviously very useful, although not everyone would consider it abstract enough to lump under abstract algebra. * The structural side (category theory, u…
This blog post (and stuff linked in the comments) talks about ways to use properties of semirings to parallelize algorithms for free: http://blog.sigfpe.com/2008/11/approach-to-algorithm-paralle...
Re: Abstract Algebra: Theory and Applications (A Free Textbook)
#10Sometimes, I wish I was 20 years younger so that I could have been reading stuff like this all through my childhood.
I wonder how long before we see child prodigies who read all these free textbooks, Khan academy stuff, and online MIT courses coming out in droves?