Weierstrass’s Foundational Results

  • Jeremy GrayEmail author
Part of the Springer Undergraduate Mathematics Series book series (SUMS)


Weierstrass is remembered for many specific discoveries in complex function theory, and here we consider two of them: his insight into the distinction between poles and essential singularities and the idea of a natural boundary of a complex function and the connection to nowhere differentiable real functions. We then look more briefly at his systematic presentation of the theory of elliptic functions, and content ourselves with a mention of his representation theorem, and his final account of a theory of Abelian functions.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsThe Open UniversityMilton KeynesUK
  2. 2.University of WarwickCoventryUK

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