Problems in Algebraic Number Theory

• Main Authors: Murty, M. Ram (Author), Esmonde, Jody (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Edition: Second Edition.
• Series: Graduate Texts in Mathematics, 190
• Subjects: Mathematics.; Number theory.; Number Theory.

From Reviews of the First Edition: This book provides a problem-oriented first course in algebraic number theory. ... The authors have done a fine job in collecting and arranging the problems. Working through them, with or without help from a teacher, will surely be a most efficient way of learning...

Table of Contents:

• Problems
• Elementary Number Theory
• Euclidean Rings
• Algebraic Numbers and Integers
• Integral Bases
• Dedekind Domains
• The Ideal Class Group
• Quadratic Reciprocity
• The Structure of Units
• Higher Reciprocity Laws
• Analytic Methods
• Density Theorems
• Solutions
• Elementary Number Theory
• Euclidean Rings
• Algebraic Numbers and Integers
• Integral Bases
• Dedekind Domains
• The Ideal Class Group
• Quadratic Reciprocity
• The Structure of Units
• Higher Reciprocity Laws
• Analytic Methods
• Density Theorems.