Number Theory Books: Find the Right Book for You!

AI Thread Summary
A user seeks a number theory book that integrates algebraic concepts, specifically group and ring theory, to explain topics like Fermat's Little Theorem and the Chinese Remainder Theorem. They express dissatisfaction with Everest and Ward's book due to its brevity and lack of depth in algebraic discussions. Recommendations include "Elementary Number Theory: An Algebraic Approach" by Bolker, noted for its accessibility and alignment with the user's needs, especially for upper division undergraduates. The book is affordable, making it a low-risk option for those looking to deepen their understanding of number theory through an algebraic lens.
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I'm looking for a good number theory book which doesn't hesitate to talk about the underlying algebra of some of the subject (e.g. using group theory to prove Fermat's Little Theorem and using ring theory to explain the ideas behind the Chinese Remainder Theorem). I'm still an undergraduate, so the book should be accessible to someone who has been through (or is going through, maybe) the standard undergrad abstract algebra coursework.

The book closest to my description is one by Everest and Ward, which I own already. The problem is that it's a little short and they shove aside some of the algebra in the earlier chapters as well...

Any suggestions?
 
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Try Elementary Number Theory: An Algebraic Approach by Bolker. I haven't read much of it, but it seems to be just what you're looking for. It's a little $10 Dover book, so you can't really go wrong.
 
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