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Abstract Algebra: Theory and Applications (A Free Textbook)

abstract.ups.edu

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Re: Abstract Algebra: Theory and Applications (A Free Textbook)

#11
post #10

Sometimes, 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?

It's an interesting question. I discovered in high-school that an avid interest in science expressed through reading back issues of national geographic, popular science, and other similar magazines can give you a significant leg up (giving me a lot of advantages in biology, chemistry, physics, mathematics, and computer science).

In some ways a lot of what's available online for free is better (wikipedia is generally better than most physical encyclopedias, not least because it's so fast to search), but in some cases there's still a gap. There are plenty of bite-sized nibbles, but there aren't as many cohesive, well put-together larger bites of knowledge such as you'd find with popularized science books and magazine articles.

Re: Abstract Algebra: Theory and Applications (A Free Textbook)

#13
post #6

I also recommend Algebra by Michael Artin--but it isn't free, unfortunately.

It's used in the course "Abstract Algebra" (Harvard). Lecture videos are available: http://www.extension.harvard.edu/openlearning/math222/ Benedict Gross is a great lecturer and I recommend watching them.
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