Algebraic Number Theory

1997
ISBN: 978-3-540-63003-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 269 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 429 g

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 hetwiskundig genootschap, 1995

Zielgruppe

Research

Autoren/Hrsg.

Koch, H.

Shafarevich, I. R.

Parshin, A.N.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

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.