Asymptotic Differential Algebra and Model Theory of Transseries
Logic
2025-01-03 v7 Commutative Algebra
Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1509.02588,
title = {Asymptotic Differential Algebra and Model Theory of Transseries},
author = {Matthias Aschenbrenner and Lou van den Dries and Joris van der Hoeven},
journal= {arXiv preprint arXiv:1509.02588},
year = {2025}
}
Comments
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