Difference between revisions of "Math 586: Introduction to Algebraic Number Theory."

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(Prerequisites)
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=== Prerequisites ===
 
=== Prerequisites ===
 +
[[Math 372]] is a prerequisite for this course. In particular, students should be familiar with the concepts of groups and rings, and they should understand constructions of quotient groups and quotient rings. By this point in their mathematical career, students should be skilled at proving theorems by themselves.
  
 
=== Minimal learning outcomes ===
 
=== Minimal learning outcomes ===

Revision as of 13:10, 20 August 2008

Catalog Information

Title

Introduction to Algebraic Number Theory.

Credit Hours

3

Prerequisite

Math 372 or equivalent; instructor's consent.

Description

Algebraic integers; different and discriminant; decomposition of primes; class group; Dirichlet unit theorem; Dedekind zeta function; cyclotomic fields; valuations; completions.

Desired Learning Outcomes

Prerequisites

Math 372 is a prerequisite for this course. In particular, students should be familiar with the concepts of groups and rings, and they should understand constructions of quotient groups and quotient rings. By this point in their mathematical career, students should be skilled at proving theorems by themselves.

Minimal learning outcomes

Additional topics

Courses for which this course is prerequisite