渐近微分代数与 transseries 的模型论
逻辑
2025-01-03 v7 交换代数
经典分析与常微分方程
摘要
在此我们发展了 transseries 微分域及相关赋值微分域的代数。本书尤其包含了我们最近获得的关于这些结构的模型论的决定性积极结果。
引用
@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}
}
备注
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