ENGLISH

Number theory

By Helmut Hasse , H.G. Zimmer

Book information

Publisher
Springer
Year
1990
ISBN
3540082751, 9783540082750
Open Library ID
OL9584882M
Language
english
Format
DJVU
Filesize
6 MB (5835464 bytes)
Series
Grundlehren der mathematischen Wissenschaften
Edition
1
Pages
656\656
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

"...a fine book ... treats algebraic number theory from the valuation-theoretic viewpoint. When it appeared in 1949 it was a pioneer. Now there are plenty of competing accounts. But Hasse has seomething extra to offer. This is not surprising, for it was he who inaugurated the local-global principle (universally called the Hasse principle). This doctrine asserts that one should first study a problem in algebraic number theoy locally, that is, at the completion of a valuation. Then ask for a miracle: that global validity is equivalent to local validity. ... It is trite but true: Every number theorist should have this book on his or her shelf." - IRVING KAPLANSKY IN BULETIN _OF THE AMERICAN MATH SOCIETY

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