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• W2963808377 abstract "From the simplest point of view, transseries concern manipulations on formal series, or 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---also known as the transline---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 mathematics: dynamical systems, model theory, computer algebra, surreal numbers. This paper is an exposition for the non-specialist mathematician. All a mathematician needs to know in order to apply transseries." @default.
• W2963808377 created "2019-07-30" @default.
• W2963808377 creator A5033283886 @default.
• W2963808377 date "2010-01-01" @default.
• W2963808377 modified "2023-10-01" @default.
• W2963808377 title "Transseries for Beginners" @default.
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• W2963808377 doi "https://doi.org/10.14321/realanalexch.35.2.0253" @default.
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