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"...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 seomething 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 theoy locally, that is, at the completion of a valuation. Then ask for a miracle: that global validity is equivalent to local validity. ... It is trite but true: Every number theorist should have this book on his or her shelf."- IRVING KAPLANSKY IN BULETIN _OF THE AMERICAN MATH SOCIETY ... Read more

Customer Reviews (1)

Number Theory
There has never been in any time a book in any language that can put on a par with Hasse's monumental refrence Number theory . It is a text as well as a great refrence, and it is sad that those people at springer verlag not just printed on a low quality papers, they put it altogether out of print. ... Read more

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The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at G÷ttingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although not all of them are of equal mathematical interest, searching through this treasure can help us to assess the development of Number Theory through the 1920s and 1930s.

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 128 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more

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638 pages; in English ... Read more

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Inhalts}bersicht: Einleitung. - Die allgemeineKlassenzahlformel. - Die arithmetische Struktur derKlassenzahlformel f}r reelle K|rper. - Die arithmetischeStruktur der Relativklassenzahlformel f}r imagin{re K|rper.- Anhang: Relativklassenzahltafeln. - Literaturverzeichnis. ... Read more

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611p. ... Read more