Parametre
Viac o knihe
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)
Nákup knihy
Number theory, Helmut Hasse
- Jazyk
- Rok vydania
- 2002
Doručenie
Platobné metódy
Navrhnúť zmenu
- Titul
- Number theory
- Jazyk
- anglicky
- Autori
- Helmut Hasse
- Vydavateľ
- Springer
- Rok vydania
- 2002
- ISBN10
- 354042749X
- ISBN13
- 9783540427490
- Kategórie
- Matematika
- Anotácia
- 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)