Mantova, V orcid.org/0000-0002-8454-7315 and Matusinski, M (2017) Surreal numbers with derivation, Hardy fields and transseries: a survey. In: Broglia, F, Delon, F, Dickmann, M, Gondard-Cozette, D and Powers, VA, (eds.) Contemporary Mathematics. International Conference on Ordered Algebraic Structures and Related Topics, 12-16 Oct 2015, Centre International de Rencontres Mathématiques (CIRM), Luminy, France. American Mathematical Society , pp. 265-290. ISBN 978-1-4704-2966-9
Abstract
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 achievements. In particular, the field of surreal numbers carries a derivation which turns it into a universal domain for Hardy fields.
Metadata
Item Type: | Proceedings Paper |
---|---|
Authors/Creators: |
|
Editors: |
|
Copyright, Publisher and Additional Information: | © 2017, American Mathematical Society. This is an author produced version of a paper published in Contemporary Mathematics. |
Keywords: | math.LO; math.LO; math.CA; 03C64, 03E10, 12J10, 12J15, 12L12, 13J05, 13N15, 26A12 |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 08 Nov 2017 15:35 |
Last Modified: | 08 Aug 2019 16:08 |
Status: | Published |
Publisher: | American Mathematical Society |
Identification Number: | 10.1090/conm/697/14057 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:123644 |