Algebraic Number Theory

by Jürgen Neukirch

From the "The present book has as its aim to resolve a discrepancy in the textbook literature and ... to provide a comprehensive introduction to algebraic number theory which is largely based on the modern, unifying conception of (one-dimensional) arithmetic algebraic geometry. ... Despite this exacting program, the book remains an introduction to algebraic number theory for the beginner... The author discusses the classical concepts from the viewpoint of Arakelov theory.... The treatment of class field theory is ... particularly rich in illustrating complements, hints for further study, and concrete examples.... The concluding chapter VII on zeta-functions and L-series is another outstanding advantage of the present textbook.... The book is, without any doubt, the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available."
W. Kleinert Zentralblatt für Mathematik, 1992

Genres: Mathematics, Algebra, Number Theory, Textbooks

591 pages, Hardcover

First published January 1, 1992

Reviews

[NoName66 · Rating 4 out of 5]

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 · Rating 4 out of 5]

Geometric intuition seems helpful with this book. Not dry.

[Didier "Dirac Ghost" Gaulin · Rating 4 out of 5]

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