The Mittag-Leffler Theorem

Released on by Laura Elizabeth Turner
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  • The Mittag-Leffler Theorem Book Detail

  • Author : Laura Elizabeth Turner
  • Release Date : 2007
  • Publisher :
  • Genre : Functions, Meromorphic
  • Pages : 174
  • ISBN 13 :
  • File Size : 90,90 MB
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The Mittag-Leffler Theorem by Laura Elizabeth Turner PDF Summary

Book Description: The Swedish mathematician Gösta Mittag-Leffler (1846-1927) is well-known for founding Acta Mathematica, the first international mathematical journal. A "post-doctoral" student in Paris and Berlin (1873-76), Mittag-Leffler built on Karl Weierstrass' work by proving the Mittag-Leffler theorem, roughly: a meromorphic function is specified by its poles, their multiplicities, and the coefficients in the principal part of its Laurent expansion. In this thesis, I explore the evolution of the Mittag-Leffler theorem, from its initial (1876) state to its final (1884) version. Aspects of the details of Mittag-Leffler's work at various stages are analyzed to demonstrate the evolution of Mittag-Leffler's technique. A key finding of the thesis is that Mittag-Leffler's research on infinite sets of singular points attracted him to Georg Cantor's set-theoretic work. The incorporation of Cantor's theory was controversial, but demonstrates Mittag-Leffler's important role in the promotion of abstract mathematics over the more concrete mathematics of the previous era.

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The Mittag-Leffler Theorem

The Mittag-Leffler Theorem

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The Swedish mathematician Gösta Mittag-Leffler (1846-1927) is well-known for founding Acta Mathematica, the first international mathematical journal. A "post-d