Bücher von 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 a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.

For readers familiar with basic algebraic number theory, this book provides quick and immediate access to class field theory. Discusses the cohomology of finite groups, local class field theory, and the class field theory of finite algebraic number fields.