Algebraic Number Theory

This book offers the basics of algebraic number theory for students and others who need an introduction and do not have the time to wade through the voluminous textbooks available. It is suitable for an independent study or as a textbook for a first course on the topic.

Autorentext
Dr. J.S. Chahal is a professor of mathematics at Brigham Young University at Provo in Utah. He received his Ph. D. from the Johns Hopkins University and after spending a couple of years at the University of Wisconsin as a post doc, he joined Brigham Young University as an assistant professor where he has been ever since. For hobbies, he likes to hike for which Utah is a great place, and travel.

Inhalt

1 Genesis-What is Number Theory?

2 Review of the Prerequisite Material

3 Basic Concepts

4 Arithmetic in Relative Extensions

5 Geometry of Numbers

6 Analytic Methods

7 Arithmetic in Galois Extensions

8 Cyclotomic Fields

9 The Kronecker-Weber Theorem

10 Passage to Algebraic Geometry

11 Epilogue-Fermat's Last Theorem

Bibliography

Index