A long-time member of mapleprimes, Gerald A. Edgar has recently posted a wonderful paper, "Transseries for beginners" up on the arXiv.  It is elementary[1], but not easy, and written in a very engaging style.  For those interested in the mathematics used in some of the darker corners of Maple, this is a great introduction.

[1] Elementary, in mathematics as in Sherlock Holmes novels, is a technical term meaning that very few underlying knowledge is necessary to understand it. 


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