Number Theory: An elementary introduction through diophantine problems
Daniel Duverney, World Scientific, 2010
This book has been translated from french by myself. The first edition in french dates back to 1998 and the second one to 2007
It has also been translated from french to japanese by Iekata Shiokawa (Morikita Shuppan, 2006), see here
Presentation of the first french edition in Zentralblatt für Mathematik
Presentation of the english edition in Zentralblatt für Mathematik
Download the first chapter
For my two other books, published only in french, click here and here