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Nonarchimedean fields and asymptotic expansions /
This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings,...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam : New York :
North-Holland Pub. Co. ; American Elsevier Pub. Co.,
1975.
|
| Colección: | North-Holland mathematical library ;
v. 13. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a Lightstone, A. H. | |
| 245 | 1 | 0 | |a Nonarchimedean fields and asymptotic expansions / |c A.H. Lightstone and Abraham Robinson. |
| 260 | |a Amsterdam : |b North-Holland Pub. Co. ; |a New York : |b American Elsevier Pub. Co., |c 1975. | ||
| 300 | |a 1 online resource (x, 204 pages) | ||
| 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 North-Holland mathematical library ; |v v. 13 | |
| 504 | |a Includes bibliographical references (pages 199-200) and index. | ||
| 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 2010. |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 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Nonarchimedean Fields and Asymptotic Expansions; Copyright Page; Contents; Preface; CHAPTER 1. NONARCHIMEDEAN FIELDS; 1. Many-sorted structures; 2. Nonarchimedean groups; 3. Nonarchimedean fields; 4. Fields with valuation; 5. Development of metric; 6. Hardy fields; 7. The field �; CHAPTER 2. NONSTANDARD ANALYSIS; 1. The method of mathematical logic; 2. The languages of R and *R; 3. Filters; 4. The ultrapower construction; 5. Proof of Los's Lemma; 6. *R is sequentially comprehensive; 7. Principles of permanence; 8. Continuity in R; 9. Internal functions; 10. Continuity in *R | |
| 505 | 8 | |a 5. Other scales6. A generalized criterion for asymptotic expansions; CHAPTER 7. POPKEN SPACE; 1. Asymptotically finite functions; 2. Convergence; 3. Norm; 4. Algebraic properties of the norm; 5. Popken's description of the norm; 6. More properties of p; 7. Asymptotic expansions in p; 8. More about norms; Bibliography; Index | |
| 520 | |a This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Nonstandard mathematical analysis. | |
| 650 | 0 | |a Asymptotic expansions. | |
| 650 | 6 | |a Analyse math�ematique non standard. |0 (CaQQLa)201-0076405 | |
| 650 | 6 | |a D�eveloppements asymptotiques. |0 (CaQQLa)201-0019870 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Asymptotic expansions |2 fast |0 (OCoLC)fst00819868 | |
| 650 | 7 | |a Nonstandard mathematical analysis |2 fast |0 (OCoLC)fst01039000 | |
| 650 | 7 | |a Nichtarchimedische absolute Geometrie |2 gnd |0 (DE-588)4193045-9 | |
| 650 | 7 | |a Analyse math�ematique non standard. |2 ram | |
| 650 | 7 | |a D�eveloppements asymptotiques. |2 ram | |
| 700 | 1 | |a Robinson, Abraham, |d 1918-1974, |e author. | |
| 776 | 0 | 8 | |i Print version: |w (DLC) 74083269 |w (OCoLC)1521942 |
| 830 | 0 | |a North-Holland mathematical library ; |v v. 13. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444107312 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/09246509/13 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=09246509&volume=13 |z Texto completo |