Number Theory 1980th ed.(Grundlehren der mathematischen Wissenschaften Vol.229) H 638 p. 80
Hasse, Helmut
著
発行年月 |
1980年02月 |
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出版国 |
ドイツ |
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言語 |
英語 |
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媒体 |
冊子 |
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装丁 |
hardcover |
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ページ数/巻数 |
638 p. |
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ジャンル |
洋書 |
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ISBN |
9783540082750 |
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商品コード |
1001748346 |
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商品URL
| https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=1001748346 |
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内容
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)