دانلود کتاب Class Field Theory

This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book was to give a rather complete presentation of algebraic aspects of global class field theory, and the authors accomplished this goal spectacularly: for more than 40 years since its first publication, the book has served as an ultimate source for many generations of mathematicians.In this revised edition, two mathematical additions complementing the exposition in the original text are made. The new edition also contains several new footnotes, additional references, and historical comments.Readership: Graduate students and research mathematicians interested in number theory.Table of ContentsPreliminariesThe first fundamental inequalitySecond fundamental inequalityReciprocity lawThe existence theoremConnected component of idèle classesThe Grunwald-Wang theoremHigher ramification theoryExplicit reciprocity lawsGroup extensionsAbstract class field theoryWeil groupsBibliography