Hasse, Helmut <br/><br/>
Number theory 

 - New Delhi:  Springer India,  2022. 
 - xvii, 638p.;  pbk;  25cm. 
 - Classics in mathematics .
<br/><br/>Includea index of names and subject index. 
<br/><br/> From the reviews:<br/>"...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."<br/>(Irving Kaplansky in Bulletin of the American Mathematical Society, 1981)<br/><br/>https://link.springer.com/book/9783540427490 
<br/><br/><label>ISBN: </label>9788184896466 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Yellow Sale 2006<br/>Arithmetic<br/>Number theory <br/>Quadratic forms<br/>Valuation theory<br/>Cyclotomic fields
<br/><br/><label>Dewey Class. No.: </label>512.7  / HAS