Title:
Algebraic number fields
Personal Author:
Series:
Pure and applied mathematics ; 55
Publication Information:
New York : Academic Press, 1973
ISBN:
9780123802507
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000001763691 | QA247 J35 1973 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
A textbook for a one-year course that introduces algebraic number theory and the basic theory of class fields of algebraic number fields, divided to fit nicely into two semesters, or even two separate courses. The approach by congruence subgroups of the ideal group, rather than the cohomology of groups, reduces the prerequisites to material used in elementary Galois theory. An appendix supplies the proof for the structure theorem for finitely generated modules over a principal ideal domain. Lightly revised, expanded, and corrected from the 1973 edition published by Academic Press. Member price, $35. Annotation copyright by Book News, Inc., Portland, OR
Table of Contents
| Subrings of fields (Chapter I) |
| Complete fields (Chapter II) |
| Decomposition groups and the Artin map (Chapter III) |
| Analytic methods and Ray classes (Chapter IV) |
| Class field theory (Chapter V) |
| Quadratic fields (Chapter VI) |
| Appendix |
| References |
| Index |
