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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.
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| Colección: | North-Holland mathematical library ;
v. 13. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- 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
- 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