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...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2006. |
| سلاسل: | Lecture Notes in Mathematics
1888 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Description d'après consultation du 29 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Transseries and real differential algebra, Joris van der Hoeven, 2006, Berlin, Springer, 1 vol. (XII-257 p.), Lecture notes in mathematics, 3-540-35590-1 • Transseries and Real Differential Algebra, Texte imprimé, 9783540825890 • Transseries and real differential algebra, Joris van der Hoeven, 2006, Berlin, Springer, 1 vol. (XII-257 p.), Lecture notes in mathematics, 3-540-35590-1 |
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| 020 | |a 9783540355915 | ||
| 041 | 0 | |a eng | |
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| 100 | 1 | |a Hoeven, Joris van der, |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Transseries and real differential algebra |c Joris Hoeven. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 1888 |x 1617-9692 | |
| 500 | |a Description d'après consultation du 29 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [235]-239. Index. Glossaire | ||
| 505 | 1 | |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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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 | |a Analyse multiéchelle | ||
| 650 | |a Relations d'ordre total | ||
| 650 | |a Équations différentielles | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Mathématiques | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Équations fonctionnelles | ||
| 776 | 0 | |0 109290887 |t Transseries and real differential algebra |f Joris van der Hoeven |d 2006 |c Berlin |n Springer |p 1 vol. (XII-257 p.) |s Lecture notes in mathematics |z 3-540-35590-1 | |
| 776 | 0 | |t Transseries and Real Differential Algebra |b Texte imprimé |z 9783540825890 | |
| 776 | 0 | |0 109290887 |t Transseries and real differential algebra |f Joris van der Hoeven |d 2006 |c Berlin |n Springer |p 1 vol. (XII-257 p.) |s Lecture notes in mathematics |z 3-540-35590-1 | |
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| 856 | 4 | |5 452349901:747896984 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/3-540-35590-1 |z Accès Université d'Orléans | |
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