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Transseries and Real Differential Algebra
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
|
| Edición: | 1st ed. 2006. |
| Colección: | Lecture Notes in Mathematics,
1888 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-35591-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220116014621.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 gw | s |||| 0|eng d | ||
| 020 | |a 9783540355915 |9 978-3-540-35591-5 | ||
| 024 | 7 | |a 10.1007/3-540-35590-1 |2 doi | |
| 050 | 4 | |a QA564-609 | |
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| 072 | 7 | |a MAT012010 |2 bisacsh | |
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| 082 | 0 | 4 | |a 516.35 |2 23 |
| 100 | 1 | |a van der Hoeven, Joris. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Transseries and Real Differential Algebra |h [electronic resource] / |c by Joris van der Hoeven. |
| 250 | |a 1st ed. 2006. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2006. | |
| 300 | |a XII, 260 p. 8 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1888 | |
| 505 | 0 | |a Orderings -- Grid-based series -- The Newton polygon method -- Transseries -- Operations on transseries -- Grid-based operators -- Linear differential equations -- Algebraic differential equations -- The intermediate value theorem. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Algebraic geometry. | |
| 650 | 0 | |a Difference equations. | |
| 650 | 0 | |a Functional equations. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 1 | 4 | |a Algebraic Geometry. |
| 650 | 2 | 4 | |a Difference and Functional Equations. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783540825890 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540355908 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 1888 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/3-540-35590-1 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||