Gentle introduction to algebraic number theory

number-theory reference-request algebraic-number-theory book-recommendation

For context, I am a undergraduate majoring in math. I've taken two semesters of algebra (though I am still a bit shaky on Galois theory). I just finshed a course in elementary number theory which used George Andrew's text.

This introductory course in number theory has been my favorite math class and I hope to learn a bit of algebraic number theory this summer to hopefully do an independent study/senior thesis in the next school year.

What are the best gentle introductory algebraic number theory texts that give an overview of the subject?


Not sure if it's gentle, but A Classical Introduction to Modern Number Theory by Ireland and Rosen appears to have received excellent reviews on Amazon.com, so perhaps that might be worth a look.

Alternatively, I found another one by William Stein's Elementary Number Theory: Primes, Congruences, and Secrets.

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