TY  - BOOK
AU  - Hasse, Helmut
TI  - Number theory
SN  - 9788184896466
U1  - 512.7 
PY  - 2022///
CY  - New Delhi
PB  - Springer India
KW  - Yellow Sale 2006
KW  - Arithmetic
KW  - Number theory
KW  - Quadratic forms
KW  - Valuation theory
KW  - Cyclotomic fields
N1  - Includea index of names and subject index
N2  - 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)

https://link.springer.com/book/9783540427490
ER  -