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From the reviews of the second edition:
K. Ireland and M. Rosen
A Classical Introduction to Modern Number Theory
"Many mathematicians of this generation have reached the frontiers of research without having a good sense of the history of their subject. In number theory this historical ignorance is being alleviated by a number of fine recent books. This work stands among them as a unique and valuable contribution."
― MATHEMATICAL REVIEWS
"This is a great book, one that does exactly what it proposes to do, and does it well. For me, this is the go-to book whenever a student wants to do an advanced independent study project in number theory. … for a student who wants to get started on the subject and has taken a basic course on elementary number theory and the standard abstract algebra course, this is perfect." (Fernando Q. Gouvêa, MathDL, January, 2006)
I have devoted a good portion of my life to the study of mathematics in general, especially algebra and number theory. Read morePublished on Dec 20 2003 by Julius Vernon
This a great introduction to number theory, with a lot of the material directed to modern research. They discuss zeta functions, algebraic number theory, and elliptic curves. Read morePublished on June 18 1999