Title:
Number fields
Personal Author:
Publication Information:
New York : Springer-Verlag, 1977
ISBN:
9780387902791
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000001763790 | QA247 M38 1977 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It therefore avoids local methods and presents proofs in a way that highlights the important parts of the arguments. Readers are assumed to be able to fill in the details, which in many places are left as exercises.
Table of Contents
| Contents: A special case of Fermat's conjecture |
| Number fields and number rings |
| Prime decomposition in number rings |
| Galois theory applied to prime decomposition |
| The ideal class group and the unit group |
| The distribution of ideals in a number ring |
| The Dedekind zeta function and the class number formula |
| The distribution of primes and an introduction to class field theory |
