I'm thinking of buying an algebraic number theory book so I can do problems. Right now, I have this awesome set: https://crypto.stanford.edu/pbc/notes/numberfield/ of notes, but I want something to read and do practice problems at school. The lecture notes are based on Daniel A. Marcus' Number Fields and I'm planning on getting that, but if anyone has any other recommendations, feel free to add.
2026-03-31 11:52:02.1774957922
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Advice on reading and problem material for Algebraic Number Theory
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The lecture notes of J. S. Milne on algebraic number theory has exercises with solutions, see http://www.jmilne.org/math/CourseNotes/ant.html,
appendix A: Solutions to the exercises.
Robert Ash's book on algebraic number theory, which can be found here:
http://www.math.uiuc.edu/~r-ash/ANT.html
contains solutions to all the exercises.
I have the book Problems in Algebraic Number Theory by Murty and Esmonde, which is particularly good,and it gives good foundations for advanced texts.
You must get: Elementary number theory: A Collection of problems with solutions by V K Krishnan (University Press).
My favorite number theory book is: An illustrated theory of numbers by Martin Weissman (AMS), but it does not have problems, and thus doesn't fulfill your request.