Book Recommendation?

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Does anybody know a good book on advanced number theory, i.e. contains stuff other than introduction to rings, groups etc? In particular, I'm interested in ideals (ring theory) and extensions of the integers as abelian groups into more abstract notions of abelian groups in general (such as the ordinals - first encountered in set theory, never seen them since).

Somebody?

You want the advanced version? Introduction to the Theory of Numbers --- Hardy and Wright.

A Course in Number Theory and Cryptography ---- Neal Koeblitz

You have to know calculus and analysis to read these

ruveyn

It largely depends on what you know and your intentions. I would second Hardy and Wright but that's the only thing I read on number theory and was recommended to me. Didn't like that much. And then there is Sierpinski's Cardinal and Ordinal Numbers. That's not my cup of tea but I think your inquiry is a bit too abstract.

Yup, Hardy and Wright had quite a lot of what I wanted. Thanks guys.