Foundation on Diophantine Analysis and Number Theory

Question

I want to read particularly about diophantine Analysis and Elementary Number Theory from a novice level.

The books which I found on net:

1. A Guide to Elementary Number Theory by Underwood Dudley

2. Diophantine Analysis by Robert Daniel Carmichael

3. Diophantine Analysis by Jorn Steuding

Help me with good suggestions as I think M.SE. has people from novice to professional users.

Thanks.

P.S. I have searched M.SE. for this type of question, I didn't find any. If you know someone, you may give the link.

Answer 1

A Classical Introduction to Modern Number Theory by Ireland and Rosen is a great book. Definitely one of the best. As for Diophantine analysis, well that can mean a few things. Lang has a good book on Diophantine approximations. I suspect that going through a book like Ireland and Rosen's will give you a better idea of what it is, specifically, that you're looking for