Can someone provide a readable discourse on factorization, norms, maximality of norms of ideals in a number field. I have already introduced myself as the communications liaison of a small study group of math Ph. D.'s who are thirty plus years away from grad studies. We are currently working on Stewart & Tall's ANT and Fermat's Last Theorem. We are having as rough time with Chapter 5 and are seeking alternative readings. Unfortunately there seem to be as many approaches to ANT as there are textbooks written. This makes it much harder to find those "alternate Readings" which follow their (Stewart & Tall) development.
Any direction would be appreciated.

Some of my favorites:
Simple and direct method By Janusz
One of my favorite authors by Jürgen Neukirch
Available online notes J.S.Milne
A classic Hecke
If you know some background in the integration on groups, then this is a classic! André Weil
I know not your book, so I cannot say if they follow the approaches in your book, but I am sure that the number of approaches to ANT is not too large, so that they are essentially equivalent.(Per chance they look different at first glance, but they might turn out to be equivalent in the end.)
Hope this helps.  
