Algebraic Number Theory

The book "Algebraic Number Theory" by Serge Lang offers a comprehensive presentation of classical algebraic and analytic number theory. It replaces the earlier work "Algebraic Numbers" and includes an expanded collection of materials, including Classical Field Theory. The author encourages readers to explore various perspectives by referencing significant works and collections that have contributed to the development of number theory. Lang takes a global approach and only touches on local fields peripherally. The book combines idealistic and idelic approaches and provides two proofs of the functional equation for the zeta function to familiarize the reader with different techniques. This comprehensive and in-depth analysis of number theory is of great value to both students and professionals.