Nonstandard Asymptotic Analysis
This research monograph considers the subject of asymptotics from a nonstandard view point. It is intended both for classical asymptoticists - they will discover a new approach to problems very familiar to them - and for nonstandard analysts but includes topics of general interest, like the remarkab...
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| シリーズ: | Lecture notes in mathematics
1249 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonstandard asymptotic analysis, Imme van den Berg, 1987, Berlin, Springer, 1 volume (IX-187 pages), Lecture notes in mathematics, 3-540-17767-1 • Nonstandard Asymptotic Analysis, Texte imprimé, 9783662164945 |
| LEADER | 03645nam a22004217a 4500 | ||
|---|---|---|---|
| 001 | 969442 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155173545 | ||
| 020 | |a 9783540478102 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 515 | ||
| 082 | |a 510 | ||
| 084 | |a 03E15. 1980 | ||
| 084 | |a 03H10. 1980 | ||
| 084 | |a 06F15. 1980 | ||
| 084 | |a 40A25. 1980 | ||
| 100 | 1 | |a Van den Berg, Imme, |d 19..-...., |c mathématicien-économiste. | |
| 245 | 1 | 0 | |a Nonstandard Asymptotic Analysis |c Imme van den Berg. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1249 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Four examples of nonstandard reasoning in asymptotics -- Asymptotic expressions for the remainders associated to expansions of type , where cn+p/cn ? c -- Asymptotic expressions for the remainders associated to expansions of type : Critical regions, uniform behaviour -- External sets -- Approximation lemma's -- Shadow expansions. | |
| 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 This research monograph considers the subject of asymptotics from a nonstandard view point. It is intended both for classical asymptoticists - they will discover a new approach to problems very familiar to them - and for nonstandard analysts but includes topics of general interest, like the remarkable behaviour of Taylor polynomials of elementary functions. Noting that within nonstandard analysis, "small", "large", and "domain of validity of asymptotic behaviour" have a precise meaning, a nonstandard alternative to classical asymptotics is developed. Special emphasis is given to applications in numerical approximation by convergent and divergent expansions: in the latter case a clear asymptotic answer is given to the problem of optimal approximation, which is valid for a large class of functions including many special functions. The author's approach is didactical. The book opens with a large introductory chapter which can be read without much knowledge of nonstandard analysis. Here the main features of the theory are presented via concrete examples, with many numerical and graphic illustrations. N. | ||
| 650 | |a Logique symbolique et mathématique | ||
| 650 | |a Analyse mathématique non standard | ||
| 650 | |a Développements asymptotiques | ||
| 776 | 0 | |0 013443976 |t Nonstandard asymptotic analysis |f Imme van den Berg |d 1987 |c Berlin |n Springer |p 1 volume (IX-187 pages) |s Lecture notes in mathematics |z 3-540-17767-1 | |
| 776 | 0 | |t Nonstandard Asymptotic Analysis |b Texte imprimé |z 9783662164945 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0077577 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-VZGXQ376-5 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750674040 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0077577 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754022587 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0077577 |z Accès INSA CVL | |
| 997 | |0 969442 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||