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Regular variation /
This book is a comprehensive account of the theory and applications of regular variation. It is concerned with the asymptotic behaviour of a real function of a real variable x which is 'close' to a power of x. Such functions are much more than a convenient extension of powers. In many limi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1987.
|
| Colección: | Encyclopedia of mathematics and its applications ;
v. 27. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 049 | |a UAMI | ||
| 100 | 1 | |a Bingham, N. H. | |
| 245 | 1 | 0 | |a Regular variation / |c N.H. Bingham, C.M. Goldie, J.L. Teugels. |
| 260 | |a Cambridge [Cambridgeshire] ; |a New York : |b Cambridge University Press, |c 1987. | ||
| 300 | |a 1 online resource (xix, 491 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v v. 27 | |
| 504 | |a Includes bibliographical references (pages 445-466). | ||
| 500 | |a Includes indexes. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2012. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2012 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Karamata theory -- Further Karamata theory -- De Haan theory -- Abelian and Tauberian theorems -- Mercerian theorems -- Applications to analytic number theory -- Applications to complex analysis -- Applications to probability theory -- Appendices. | |
| 520 | |a This book is a comprehensive account of the theory and applications of regular variation. It is concerned with the asymptotic behaviour of a real function of a real variable x which is 'close' to a power of x. Such functions are much more than a convenient extension of powers. In many limit theorems regular variation is intrinsic to the result, and exactly characterises the limit behaviour. The book emphasises such characterisations, and gives a comprehensive treatment of those applications where regular variation plays an essential (rather then merely convenient) role. The authors rigorously develop the basic ideas of Karamata theory and de Haan theory including many new results and 'second-order' theorems. They go on to discuss the role of regular variation in Abelian, Tauberian, and Mercerian theorems. These results are then applied in analytic number theory, complex analysis, and probability, with the aim above all of setting the theory in context. A widely scattered literature is thus brought together in a unified approach. With several appendices and a comprehensive list of references, analysts, number theorists, and probabilists will find this an invaluable and complete account of regular variation. It will provide a rigorous and authoritative introduction to the subject for research students in these fields. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Functions of real variables. | |
| 650 | 0 | |a Calculus. | |
| 650 | 6 | |a Fonctions de variables réelles. | |
| 650 | 6 | |a Calcul infinitésimal. | |
| 650 | 7 | |a calculus. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Calculus. |2 fast |0 (OCoLC)fst00844119 | |
| 650 | 7 | |a Functions of real variables. |2 fast |0 (OCoLC)fst00936120 | |
| 650 | 7 | |a Reguläres Variationsproblem |2 gnd | |
| 650 | 7 | |a Fonctions d'une variable réelle. |2 ram | |
| 653 | |a Calculus |a Functions of real variables | ||
| 700 | 1 | |a Goldie, C. M. | |
| 700 | 1 | |a Teugels, Jef L. | |
| 776 | 0 | 8 | |i Print version: |w (DLC) 86028422 |w (OCoLC)14719199 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v v. 27. | |
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