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Number Theory, Paperback / softback Book

Number Theory Paperback / softback

Paperback / softback

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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)

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  • Format:Paperback / softback
  • Pages:640 pages, XVII, 640 p.
  • Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Publication Date:
  • Category:
  • ISBN:9783540427490
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Information

  • Item not Available

  • Format:Paperback / softback
  • Pages:640 pages, XVII, 640 p.
  • Publisher:Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Publication Date:
  • Category:
  • ISBN:9783540427490