Introduction to Algebraic Number Theory
by William Stein
Publisher: University of Washington 2005
Number of pages: 140
Topics in this book: Rings of integers of number fields; Unique factorization of ideals in Dedekind domains; Structure of the group of units of the ring of integers; Finiteness of the group of equivalence classes of ideals of the ring of integers; Decomposition and inertia groups, Frobenius elements; Ramification; Discriminant and different; Quadratic and biquadratic fields; etc.
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by Steve Wright - arXiv
This is a series of lecture notes on the elementary theory of algebraic numbers, using only knowledge of a first-semester graduate course in algebra (primarily groups and rings). No prerequisite knowledge of fields is required.
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