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)
| ISBN: | 9783540427490 |
| Publication date: | 10th January 2002 |
| Author: | Helmut Hasse |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 640 pages |
| Series: | Classics in Mathematics |
| Genres: |
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.
Number Theory features in the following genres: Number theory
Paperback, Hardback. Not Available.
Number Theory was written by Helmut Hasse and published by Springer an imprint of Springer Berlin Heidelberg
Number Theory has 640 pages
Yes it is part of Classics in Mathematics series