Surreal numbers with derivation, Hardy fields and transseries: a survey

被引：1

作者：

Mantova, Vincenzo ^{[1
]}

Matusinski, Mickael ^{[2
]}

机构：

[1] Univ Leeds, Dept Math, Leeds LS2 9JT, W Yorkshire, England

[2] Univ Bordeaux, IMB Inst Math Bordeaux, UMR 5251, 351 Cours Liberat, F-33405 Talence, France

来源：

ORDERED ALGEBRAIC STRUCTURES AND RELATED TOPICS | 2017年 / 697卷

关键词：

DIFFERENTIAL-EQUATIONS;

D O I：

10.1090/conm/697/14057

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present survey article has two aims: - To provide an intuitive and accessible introduction to the theory of the field of surreal numbers with exponential and logarithmic functions. - To give an overview of some of the recent achievments. In particular, the field of surreal numbers carries a derivation which turns it into a universal domain for Hardy fields.

引用

页码：265 / 290

页数：26

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