Algebraic number theory
著者
書誌事項
Algebraic number theory
Springer, 1997
- タイトル別名
-
Teorii︠a︡ chisel 2
Number theory 2
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注記
Bibliography: p. [251]-261
Includes indexes
"Second printing 1997 of the first edition 1992, which was originally published as Number Theory II, volume 62 of the Encyclopaedia of Mathematical Sciences"--T.p. verso
"Title of the Russian edition:Itogi nauki i tekhniki, sovremennye problemy matematiki, Fundamental'nye napravleniya, vol.62, Teoriya chisel 2, Publisher VINITI, Moscow 1988"--T.p. verso
内容説明・目次
内容説明
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, 1995
目次
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.
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