| 书目名称 | Transseries and Real Differential Algebra |
| 编辑 | Joris Hoeven |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Écalle‘s proof of Dulac‘s conjecture, which is closely related to Hilbert‘s 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists.. |
| 出版日期 | Book 2006 |
| 关键词 | Finite; Transseries; algebra; asymptotics; differential algebra; equation; mathematics; o-minimality; proof; |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-540-35590-1 |
| isbn_softcover | 978-3-540-35590-8 |
| isbn_ebook | 978-3-540-35591-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2006 |
发表于 2025-3-21 16:49:04
