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Most of the number theory textbooks I've dealt with take a very classical approach to the subject. I'm looking for a textbook that's something like a first course in number theory for people who have a decent command of modern algebra (at the level of something like Lang's Algebra). Does such a book exist, and if it does, what is it called? Edit: As I posted in a comment below: In the introduction to Ireland and Rosen, they note something that was bugging me for a while, "Nevertheless it is remarkable how a modicum of group and ring theory introduces unexpected order into the subject." This is precisely the perspective I was looking for, so if anyone passes by this topic looking for an answer to a book that approaches number theory in this way, I feel like this quote illustrates exactly what I meantshould point him (her?) in the right direction. |
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Most of the number theory textbooks I've dealt with take a very classical approach to the subject. I'm looking for a textbook that's something like a first course in number theory for people who have a decent command of modern algebra (at the level of something like Lang's Algebra). Does such a book exist, and if it does, what is it called? Edit: As I posted in a comment below: In the introduction to Ireland and Rosen, they note something that was bugging me for a while, "Nevertheless it is remarkable how a modicum of group and ring theory introduces unexpected order into the subject." This is precisely the perspective I was looking for, so if anyone passes by this topic looking for an answer to a book that approaches number theory in this way, I feel like this quote illustrates exactly what I meant. |
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1 | [made Community Wiki] | ||

