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  1. Heinrich Weber was a German mathematician whose main work was in algebra, number theory, analysis and applications of analysis to mathematical physics. View four larger pictures Biography

  2. His work Theorie der algebraischen Functionen einer Veränderlichen (with Dedekind) established an algebraic foundation for Riemann surfaces, allowing a purely algebraic formulation of the RiemannRoch theorem. Weber's research papers were numerous, most of them appearing in Crelle's Journal or Mathematische Annalen.

  3. Although many of the abstract concepts that became central to the structural conception of algebra after 1930 were well known to Weber, they play a relatively secondary role in his presentation of the discipline. Algebra still appears here as the discipline of polynomial equations and polynomial forms. 1. Background.

  4. We rejoice to learn, by remarks made in two places, that the author still contemplates writing a third volume, which is destined to treat of the application of the general theory of algebraic numbers to the complex multiplication of elliptic functions.

  5. Jan 1, 2005 · Although many of the abstract concepts that became central to the structural conception of algebra after 1930 were well known to Weber, they played a relatively secondary role here: algebra was still the discipline of polynomial equations and polynomial forms.

    • Leo Corry
    • 2005
  6. In 1895, Weber published his best known book, Lehrbuch der Algebra in two volumes. This text was a pioneering effort in the transition of algebra from its traditional form to its “modern” focus on structure. The second volume was extended into a third volume which appeared in 1903. This is the title page for the first volume.

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  8. Contents. Weber, Heinrich. German mathematician. Learn about this topic in these articles: contribution to algebra. In group. It was Heinrich Weber, in 1882, who first gave a purely axiomatic description of a group independently of the nature of its elements.

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