Transseries for beginners

@article{Edgar2008TransseriesFB,
  title={Transseries for beginners},
  author={G. A. Edgar},
  journal={arXiv: Rings and Algebras},
  year={2008}
}
  • G. A. Edgar
  • Published 2008
  • Mathematics
  • arXiv: Rings and Algebras
From the simplest point of view, transseries are a new kind of expansion for real-valued functions. But transseries constitute much more than that--they have a very rich (algebraic, combinatorial, analytic) structure. The set of transseries is a large ordered field, extending the real number field, and endowed with additional operations such as exponential, logarithm, derivative, integral, composition. Over the course of the last 20 years or so, transseries have emerged in several areas of… Expand
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