Asymptotic Differential Algebra and Model Theory of Transseries - Aschenbrenner, Matthias a van den Dries, Lou a van der Hoeven, Joris

Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transser