**Introduction to Algebraic Number Theory**

by William Stein

**Publisher**: University of Washington 2005**Number of pages**: 140

**Description**:

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.

Download or read it online for free here:

**Download link**

(820KB, PDF)

## Similar books

**Lectures on Field Theory and Ramification Theory**

by

**Sudhir R. Ghorpade**-

**Indian Institute of Technology, Bombay**

These are notes of a series of lectures, aimed at covering the essentials of Field Theory and Ramification Theory as may be needed for local and global class field theory. Included are the two sections on cyclic extensions and abelian extensions.

(

**9523**views)

**Heegner Points and Rankin L-Series**

by

**Henri Darmon, Shou-Wu Zhang**-

**Cambridge University Press**

This volume has the Gross-Zagier formula and its avatars as a common unifying theme. It covers the theory of complex multiplication, automorphic forms, the Rankin-Selberg method, arithmetic intersection theory, Iwasawa theory, and other topics.

(

**8523**views)

**Algebraic Number Theory**

by

**J.S. Milne**

Contents: Preliminaries From Commutative Algebra; Rings of Integers; Dedekind Domains; Factorization; The Finiteness of the Class Number; The Unit Theorem; Cyclotomic Extensions; Fermat's Last Theorem; Valuations; Local Fields; Global Fields.

(

**15056**views)

**A Course In Algebraic Number Theory**

by

**Robert B. Ash**-

**University of Illinois**

Basic course in algebraic number theory. It covers the general theory of factorization of ideals in Dedekind domains, the use of Kummerâ€™s theorem, the factorization of prime ideals in Galois extensions, local and global fields, etc.

(

**14994**views)