From the reviews: "...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 something 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 theory locally, that is, at the completion of a vaulation. Then ask for a miracle: that global validity is equivalent to local validity. Hasse proved that miracles do happen in his five beautiful papers on quadratic forms of 1923-1924...The exposition is discursive...It is trite but true: Every number-theorist should have this book on his or her shelf." (Irving Kaplansky in Bulletin of the American Mathematical Society, 1981)
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From the reviews:
"...a fine book ... This is not surprising, for it was he who inaugurated the local-global principle (universally called the Hasse principle). Then ask for a miracle: that global validity is equivalent to local validity. Hasse proved that miracles do happen in his five beautiful papers on quadratic forms of 1923-1924.
"...a fine book ... This is not surprising, for it was he who inaugurated the local-global principle (universally called the Hasse principle). Then ask for a miracle: that global validity is equivalent to local validity. Hasse proved that miracles do happen in his five beautiful papers on quadratic forms of 1923-1924.
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Produktdetaljer
ISBN
9783540427490
Publisert
2002-01-10
Utgiver
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Høyde
244 mm
Bredde
170 mm
Aldersnivå
Research, UP, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
17
Forfatter
Oversetter