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The Theory of Algebraic Number Fields
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The Theory of Algebraic Number Fields Hardback - 1998

by David Hilbert

  • New
  • Hardcover

Description

Hardback. New. A translation of Hilberts "Theorie der algebraischen Zahlkoerper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century.
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Details

  • Title The Theory of Algebraic Number Fields
  • Author David Hilbert
  • Binding Hardback
  • Edition First Edition
  • Condition New
  • Pages 351
  • Volumes 1
  • Language ENG
  • Publisher Springer, Berlin
  • Date 1998-08-20
  • Bookseller's Inventory # B9783540627791
  • ISBN 9783540627791 / 3540627790
  • Weight 1.55 lbs (0.70 kg)
  • Dimensions 9.53 x 6.38 x 1.05 in (24.21 x 16.21 x 2.67 cm)
  • Library of Congress Catalog Number 98042185
  • Dewey Decimal Code 512.74

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From the publisher

A translation of Hilberts "Theorie der algebraischen Zahlkrper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.

From the rear cover

This book is an English translation of Hilbert's Zahlbericht, the monumental report on the theory of algebraic number field which he composed for the German Mathematical Society. In this magisterial work Hilbert provides a unified account of the development of algebraic number theory up to the end of the nineteenth century. He greatly simplified Kummer's theory and laid the foundation for a general theory of abelian fields and class field theory. David Hilbert (1862-1943) made great contributions to many areas of mathematics - invariant theory, algebraic number theory, the foundations of geometry, integral equations, the foundations of mathematics and mathematical physics. He is remembered also for his lecture at the Paris International Congress of Mathematicians in 1900 where he presented a set of 23 problems "from the discussion of which an advancement of science may be expected" - his expectations have been amply fulfilled.

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