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
收藏
页码：265 / 290
页数：26
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