The Theory of Algebraic Number Fields

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Springer, Aug 20, 1998 - Mathematics - 350 pages
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A translation of Hilberts "Theorie der algebraischen Zahlkörper" 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.
  

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Contents

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Import Export International
... on the theory of algebraic numbers; Y. Hellegouarch Invitation aux mathematiques de Fermat-Wiles; D. Hilbert, The theory of algebraic number fields. ...
www.fen.bilkent.edu.tr/ ~franz/ books.html

1.Hilbert, The theory of algebraic number fields, 3-540-62779-0
Hilbert,(Adamson translation 1998) The theory of algebraic number fields, 3-540-62779-0, twarda opr., 350pp, cena katalogowa DM 119 - cena konferencyjna DM ...
im0.p.lodz.pl/ konferencje/ krynica99/ OmegaPress.html

Hilbert and the internal logic of mathematics
The theory of algebraic number fields,. Hilbert says:. I have attempted to bypass Kummer's heavy apparatus of calculation in order to abide ...
www.springerlink.com/ index/ K8U3R424K50X0K74.pdf

The Theory of Algebraic Number Fields - Number Theory Journals ...
The Theory of Algebraic Number Fields - Number Theory & Combinatorics. This book is a translation into English of Hilbert's "Theorie der algebraischen ...
www.springer.com/ math/ numbers/ book/ 978-3-540-62779-1

David Hilbert Books
David Hilbert The Theory of Algebraic Number Fields · HILBERT: The Theory of Algebraic Number Fields. David Hilbert Foundations of Geometry ...
www.kolmogorov.com/ hilbert1.html

Maths Books
The Theory of Algebraic Number Fields, David Hilbert. The Theory of Functions, ec Titchmarsh. The Theory of the Riemann Zeta-Function, ec Titchmarsh; ...
www.ufr-mi.u-bordeaux.fr/ ~kowalski/ math-books.html

David Hilbert libri - I Libri dell'autore: David Hilbert - webster.it
The Theory of Algebraic Number Fields · The Theory of Algebraic Number Fields di David Hilbert - Springer - October 1998. Prezzo: € 113.00 ...
www.webster.it/ vai_libri-author_David+Hilbert-shelf_BUS-David+Hilbert-p_1.html

arxiv:math.NT/0510154 v3 14 Jul 2006
[3] D. Hilbert, The Theory of Algebraic Number Fields (trans. I. Adamson),. Springer-Verlag, Berlin, 1998. [4] E. Kummer,Uber eine besondere Art aus ...
arxiv.org/ pdf/ math.NT/ 0510154.pdf

武汉大学图书馆负责维护
The theory of algebraic number fields / David Hilbert; translated from the German by Iain Adamson; with an introduction from Franz Lemmermeyer an Norbert ...
www.lib.whu.edu.cn/ wjzx/ xstb.htm

i adamson libri - I Libri dell'autore: I Adamson ...
The Theory of Algebraic Number Fields · The Theory of Algebraic Number Fields di David Hilbert - Springer - October 1998. Prezzo: € 113.00 ...
www.libreriauniversitaria.it/ books-author_i+adamson-i+adamson.htm

About the author (1998)

Born in Konigsberg, Germany, David Hilbert was professor of mathematics at Gottingen from 1895 to1930. Hilbert was among the earliest adherents of Cantor's new transfinite set theory. Despite the controversy that arose over the subject, Hilbert maintained that "no one shall drive us from this paradise (of the infinite)" (Hilbert, "Uber das Unendliche," Mathematische Annalen [1926]). It has been said that Hilbert was the last of the great universalist mathematicians and that he was knowledgeable in every area of mathematics, making important contributions to all of them (the same has been said of Poincare). Hilbert's publications include impressive works on algebra and number theory (by applying methods of analysis he was able to solve the famous "Waring's Problem"). Hilbert also made many contributions to analysis, especially the theory of functions and integral equations, as well as mathematical physics, logic, and the foundations of mathematics. His work of 1899, Grundlagen der Geometrie, brought Hilbert's name to international prominence, because it was based on an entirely new understanding of the nature of axioms. Hilbert adopted a formalist view and stressed the significance of determining the consistency and independence of the axioms in question. In 1900 he again captured the imagination of an international audience with his famous "23 unsolved problems" of mathematics, many of which became major areas of intensive research in this century. Some of the problems remain unresolved to this day. At the end of his career, Hilbert became engrossed in the problem of providing a logically satisfactory foundation for all of mathematics. As a result, he developed a comprehensive program to establish the consistency of axiomatized systems in terms of a metamathematical proof theory. In 1925, Hilbert became ill with pernicious anemia---then an incurable disease. However, because Minot had just discovered a treatment, Hilbert lived for another 18 years.

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