ENGLISH

Advanced Number Theory

By Harvey Cohn

Book information

Publisher
Dover Publications
Year
1980
ISBN
9780486640235, 048664023X
LCC
QA241 .C68 1980
Open Library ID
OL4120501M
Language
english
Format
PDF
Filesize
11 MB (11259238 bytes)
Edition
Trade Paperback Republication
Pages
283\283
Time added
2010-05-31 00:48:14

Description

From 1962, this is a detailed account of quadratic number fields, and makes a fair introduction to the theory of number fields of any degree. Ideal theory (restricted to the quadratic case) is well covered in plenty of detail. Gauss's classic theory of binary quadratic forms is also included.Cohn is clearly quite keen on the subject, and is not just writing a textbook on some arbitrary topic for which he thinks there might be a market. And he has no fear of including pedagogical remarks in a textbook. The English is a bit awkward in places, but that is a minor thing.The basics about characters and Dirichlet L-series are developed, but only to the extent needed to give Dirichlet's original proof of his theorem on arithmetic progressions. That proof, unlike later ones, uses Dirichlet's class number formula for quadratic fields, and is worth a look.There is a lengthy but now dated bibliography.An unusual feature is a table (from Sommer's 1911 book) describing the structure of Z[sqrt(n)] for all nonsquare n from -99 to 99.

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