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Book synopsis

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 localvalidity. 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)

Book details

Book category Books in English Mathematics & science Mathematics Number theory

• Full title: Number Theory
• Author: Helmut Hasse
• Language: English
• Binding: Paperback
• Number of pages: 640
• EAN: 9783540427490
• ISBN: 354042749X
• ID: 06807710
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Weight: 1160 g
• Dimensions: 244 × 170 × 36 mm
• Date of publishing: 10. January 2002

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