UID:
edocfu_9958085043602883
Format:
1 online resource (215 p.)
ISBN:
1-283-52547-X
,
9786613837929
,
0-08-095420-0
Series Statement:
North-Holland mathematical library ; volume 13
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:
Description based upon print version of record.
,
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
,
English
Additional Edition:
ISBN 0-444-10731-2
Language:
English
