Algebraic Number Theory

by Jürgen Neukirch

This introduction to algebraic number theory discusses the classical concepts from the viewpoint of Arakelov theory. The treatment of class theory is particularly rich in illustrating complements, offering hints for further study, and providing concrete examples. It is the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available.

Genres: Mathematics, Algebra, Number Theory, Textbooks

591 pages, Hardcover

First published January 1, 1992

Reviews

[NoName66]

It is a very dense and informative book, for an entire year I just finished the first three chapters and some parts of the last chapter, and I did a final reading of Iwasawa Theory. This is my first time to learn algebraic number theory, it is very interesting and difficult lol.

[Peng Gao]

Geometric intuition seems helpful with this book. Not dry.

[Didier "Dirac Ghost" Gaulin]

An excellent introduction to the domain of algebraic number theory, with a selection of advanced topics, structured in a very natural way.

[Lulu]

Number Theory