A Course In Algebraic Number Theory

A Course in Algebraic Number Theory

Download individual chapters of A Course in Algebraic Number Theory, by Robert B. Ash, in pdf format.

Description

This text for a graduate-level course covers the general theory of factorization of ideals in Dedekind domains as well as the number field case. It illustrates the use of Kummer’s theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms.

Table of Contents

  • Introduction
  • Norms, Traces and Discriminants
  • Dedekind Domains
  • Factoring of Prime Ideals in Extensions
  • The Ideal Class Group
  • The Dirichlet Unit Theorem
  • Cyclotomic Extensions
  • Factoring of Prime Ideals in Galois Extensions
  • Local Fields

Book Details

Author(s): Robert B. Ash
Publisher: Dover Publications
Format(s): PDF
File size: –
Number of pages: 128
Link: A Course in Algebraic Number Theory [PDF]







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