Tim Lahey wrote:
> Hi,
>
> I'm an engineer by training, so my knowledge of
> mathematics is very applied. A lot of things in
> Sage deal with Groups, Rings, and Fields so I'd
> like to broaden and improve my mathematics knowledge.
> Could someone suggest a good introductory reference
> (and possibly an intermediate one) so I can better
> understand what Sage is doing?
>
> Thanks,
>
> Tim.
>   
If you're an applied maths guy, I would suggest _Algebra_ by Michael 
Artin.  It provides plenty of concrete examples of the abstract stuff 
and why it is useful.  It is not comprehensive, but the topics it 
chooses are well developed, and you'll never have to ask, "Why does this 
theorem matter?"  It will get you started on groups, rings, and fields.

Jeffrey

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