Algebraic Number Theory
Published on 12. September 1997
Book
Paperback/Softback
V, 269 pages
978-3-540-63003-6 (ISBN)
Description
This book is an exposition of the main ideas of algebraic number theory. It is written for the non-expert. Therefore, beyond some algebra, there are almost no prerequisites.
Reviews / Votes
From the reviews: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Number theory is not easy and quite technical at several places, as the author is able to show in his technically good exposition. The amount of difficult material well exposed gives a survey of quite a lot of good solid classical number theory... Conclusion: for people not already familiar with this field this book is not so easy to read, but for the specialist in number theory this is a useful description of (classical) algebraic number theory." Medelingen van het wiskundig genootschap, 1995More details
Edition
1st ed. 1992. 2nd printing 1997
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
V, 269 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
429 gr
ISBN-13
978-3-540-63003-6 (9783540630036)
DOI
10.1007/978-3-642-58095-6
Schweitzer Classification
Other editions
Additional editions
Book
08/1992
Springer
€90.90
Article exhausted; check different version
Content
1. Basic Number Theory.- 2. Class Field Theory.- 3. Galois Groups.- 4. Abelian Fields.- 5. Artin L-Functions and Galois Module Structure.- Appendix 1. Fields, Domains, and Complexes.- 1.1. Finite Field Extensions.- 1.2. Galois Theory.- 1.3. Domains.- 1.4. Complexes.- Appendix 2. Quadratic Residues.- Appendix 3. Locally Compact Groups.- 3.1. Locally Compact Abelian Groups.- 3.2. Restricted Products.- Appendix 4. Bernoulli Numbers.- Tables.- References.- Author Index.