Number Theory

von Helmut Hasse

640 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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)

• Reihe: Classics in Mathematics
• ISBN: 9783540427490
• Sprache: Englisch
• Erscheinungsdatum: 10.01.2002
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin
• Übersetzung: H.G. Zimmer