Asymptotic Differential Algebra and Model Theory of Transseries
arXiv:1509.02588
Abstract
We develop here the algebra of the differential field of transseries and of related valued differential fields. This book contains in particular our recently obtained decisive positive results on the model theory of these structures.
729 pp; version 7 correcting various smaller mistakes; for a list of errata to the printed version see https://www.mat.univie.ac.at/~maschenbrenner/pdf/mt-errata.pdf