Algebraic Theory of Numbers
Translated from the French by Allan J. Silberger
Will be published approx. on 25. July 2008
Book
Paperback/Softback
112 pages
978-0-486-46666-8 (ISBN)
Description
This text covers the basics of algebraic number theory, including divisibility theory in principal ideal domains, the unit theorem, finiteness of the class number, and Hilbert ramification theory. 1970 edition.
More details
Series
Language
English
Place of publication
New York
United States
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 233 mm
Width: 157 mm
Thickness: 6 mm
Weight
159 gr
ISBN-13
978-0-486-46666-8 (9780486466668)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
Translator's Introduction
Introduction
Notations, Definitions, and Prerequisites
1. Principal ideal rings
2. Elements integral over a ring; elements algebraic over a field
Appendix: The field of complex numbers is algebraically closed
3. Noetherian rings and Dedekind rings
4. Ideal classes and the unit theorem
Appendix: The calculation of a volume
5. The splitting of prime ideals in an extension field
6. Galois extensions of number fields
A supplement, without proofs
Exercises
Bibliography
Index