1st Edition

Algebraic Number Theory A Brief Introduction

By J.S. Chahal Copyright 2021
166 Pages 25 B/W Illustrations
by Chapman & Hall

166 Pages 25 B/W Illustrations
by Chapman & Hall

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. The author presents the topic here by first offering a brief introduction to number theory and a review of the prerequisite... Read more

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

Biography

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.