Format:
Online Ressource (x, 204 pages)
ISBN:
9780080954202
,
0080954200
,
9780444107312
,
0444107312
Series Statement:
North-Holland mathematical library 13
Content:
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
Content:
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
Content:
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
Note:
Includes bibliographical references (pages 199-200) and index. - Description based on print version record
,
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.
,
English
Additional Edition:
ISBN 0444107312
Additional Edition:
ISBN 0720424593
Additional Edition:
ISBN 072042450X
Additional Edition:
Erscheint auch als Druck-Ausgabe Lightstone, Albert H. Nonarchimedean fields and asymptotic expansions Amsterdam [u.a.] : North-Holland Publ. Co [u.a.], 1975 ISBN 0444107312
Additional Edition:
ISBN 0720424593
Language:
English
Subjects:
Mathematics
Keywords:
Nichtarchimedische Bewertung
;
Asymptotische Entwicklung
;
Electronic books
;
Electronic books
URL:
Volltext
(lizenzpflichtig)
