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koch h.; parshin a.n. (curatore); shafarevich i.r. (curatore) - algebraic number theory

Algebraic Number Theory

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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 09/1997
Edizione: 1997





Trama

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




Sommario

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.










Altre Informazioni

ISBN:

9783540630036

Condizione: Nuovo
Collana: Encyclopaedia of Mathematical Sciences
Dimensioni: 235 x 155 mm
Formato: Brossura
Illustration Notes:V, 269 p.
Pagine Arabe: 269
Pagine Romane: v


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