This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields, proved by Lang in the very first version of the book in the sixties. This version can now be seen as a precursor of Arakelov theory. Part II covers class field theory, and Part III is devoted to analytic methods, including an exposition of Tate's thesis, the Brauer-Siegel

Author: Serge Lang
Binding Type: Paperback
Publisher: Springer
Published: 04/10/2013
Series: Graduate Texts in Mathematics #110
Pages: 357
Weight: 1.16lbs
Size: 9.21h x 6.14w x 0.78d
ISBN: 9781461269229
2nd 1994. Softcover Edition