Algebraic number fields
著者
書誌事項
Algebraic number fields
（Graduate studies in mathematics, v. 7）
American Mathematical Society, c1996
2nd ed
大学図書館所蔵 全55件
注記
First edition c1973 by Academic Press, as issue number 55 in the series Pure and applied mathematics
Includes bibliographical references (p. 273 ) and index
内容説明・目次
内容説明
The book is directed toward students with a minimal background who want to learn class field theory for number fields. The only prerequisite for reading it is some elementary Galois theory. The first three chapters lay out the necessary background in number fields, such the arithmetic of fields, Dedekind domains, and valuations. The next two chapters discuss class field theory for number fields. The concluding chapter serves as an illustration of the concepts introduced in previous chapters.In particular, some interesting calculations with quadratic fields show the use of the norm residue symbol. For the second edition the author added some new material, expanded many proofs, and corrected errors found in the first edition. The main objective, however, remains the same as it was for the first edition: to give an exposition of the introductory material and the main theorems about class fields of algebraic number fields that would require as little background preparation as possible. Janusz's book can be an excellent textbook for a year-long course in algebraic number theory; the first three chapters would be suitable for a one-semester course. It is also very suitable for independent study.
目次
Subrings of fields Complete fields Decomposition groups and the Artin map Analytic methods and ray classes Class field theory Quadratic fields Appendix References Index.
「Nielsen BookData」 より