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March 31st, 2014, 04:39 AM  #11 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,488 Thanks: 887 Math Focus: Elementary mathematics and beyond  
March 31st, 2014, 05:06 AM  #12 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory 
You should try NivenZuckermanMontgomery. Lots of exercises to work out.

April 28th, 2015, 12:12 PM  #13  
Senior Member Joined: Dec 2007 Posts: 687 Thanks: 47 
Ireland & Rosen's NT intro is a perfect example of how editors mislead the public to sell books, there is nothing like "intro" in that book. The same goes for a bunch of "intro's", take Van Dalen's intro do logic, at least Ireland & Rosen is well done, clear and with many references, although the experience in algebra it demands obviously is not possessed by anyone who is not already quite familiar with number theory. Quote:
 
April 28th, 2015, 12:53 PM  #14 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 932 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  
April 28th, 2015, 01:37 PM  #15 
Senior Member Joined: Dec 2007 Posts: 687 Thanks: 47  
April 29th, 2015, 01:36 AM  #16 
Senior Member Joined: Dec 2007 Posts: 687 Thanks: 47 
There is a very nice introduction to NT with answers to all exercises, and especial chapters on FLT and the Zeta Function: Elementary Number Theory (Springer Undergraduate Mathematics Series): Gareth A. Jones, Josephine M. Jones: 9783540761976: Amazon.com: Books Since it has answers to ALL exercises I think it is a good book to consult, it is very problemsolving oriented, so you get many techniques with work examples. Then, before Ireland&Rosen sort of book, another very didactic book on ALgebra is: http://www.amazon.com/BookAbstract.../dp/0486474178 This is the best possible value for the money. 

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