Number Theory
Produktnummer:
18334f30c4fb2942f094f52861feea8cc1
| Autor: | Hasse, Helmut |
|---|---|
| Themengebiete: | YellowSale2006 arithmetic number theory quadratic forms valuation theory |
| Veröffentlichungsdatum: | 10.01.2002 |
| EAN: | 9783540427490 |
| Sprache: | Englisch |
| Seitenzahl: | 640 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
Produktinformationen "Number Theory"
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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