Essential Algebraic Number Theory

By: Ivan Fesenko

Write A Review

Paperback | 13 February 2026

At a Glance

Paperback
286 Pages

Dimensions(cm)
15.2 x 22.9 x 1.8

Paperback

$133.99

or 4 interest-free payments of $33.50 with

or

Ships in 5 to 10 business days

This book provides a clear and accessible introduction to modern algebraic number theory, with a special emphasis on class field theory. Drawing from courses and lectures delivered in seven countries, the text balances simplicity with depth, making advanced topics approachable with minimal reliance on heavy algebraic or analytic machinery.

The book is structured into these distinct chapters; each tailored to a different stage of mathematical training:

Chapter 1 introduces algebraic number fields, progressing at a steady pace with numerous examples - ideal for advanced undergraduates;
Chapter 2 explores complete discrete valuation fields (local fields), a vital area of local algebraic number theory often underrepresented in standard textbooks but crucial in modern research;
Chapter 3 develops abstract class field theory and its applications to both local and global fields, using Neukirch's axiomatic approach to derive fundamental theorems. Extensions to recent developments and generalizations are also discussed.

The final chapter gathers a substantial collection of exercises, designed to test comprehension and guide further exploration. By offering the simplest known pathway to class field theory, this book fills a significant gap left by classic references published decades ago.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $0.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.