Number theory / Helmut Hasse.

Format:

Book

Author/Creator:

Hasse, Helmut, 1898-1979.

Series:

Classics in mathematics 1431-0821

Classics in mathematics, 1431-0821

Standardized Title:

Zahlentheorie. English

Language:

English

German

Subjects (All):

Number theory.

Physical Description:

xvii, 637 pages : illustrations ; 24 cm.

Place of Publication:

New York : Springer, 2002.

Summary:

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)

Notes:

"Reprint of the 1980 edition."

"Originally published as vol. 229 of the Grundlehren der mathematischen Wissenschaften"--T.p. verso.

Includes bibliographical references and indexes.

ISBN:

354042749X

OCLC:

48383512