rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Nonarchimedean fields and asymptotic expansions
  name:
    name part: Lightstone, A. H.
    role:
      role term: creator
  name:
    name part: Robinson, Abraham
    name part: 1918-1974
    role:
      role term: author.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: New York
    publisher: North-Holland Pub. Co.
    publisher: American Elsevier Pub. Co.
    date issued: 1975
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (x, 204 pages)
  abstract: 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.
  table of contents: 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
  table of contents: 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
  note: A.H. Lightstone and Abraham Robinson.
  note: 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. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: Includes bibliographical references (pages 199-200) and index.
  note: English.
  subject:
    topic: Nonstandard mathematical analysis
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Analyse mathématique non standard
  subject:
    topic: Développements asymptotiques
  subject:
    topic: MATHEMATICS
    topic: Calculus
  subject:
    topic: MATHEMATICS
    topic: Mathematical Analysis
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Nonstandard mathematical analysis
  subject:
    topic: Nichtarchimedische absolute Geometrie
  subject:
    topic: Nonstandard mathematical analysis
  subject:
    topic: Analyse mathématique non standard
  subject:
    topic: Développements asymptotiques
  subject:
    topic: Asymptotic expansions
  subject:
    topic: Nonstandard mathematical analysis
  classification: QA299.82 .L53
  classification: 515
  classification: PA 56
  classification: PB 34
  related item:
    identifier: (DLC) 74083269
    identifier: (OCoLC)1521942
  related item:
    title info:
      title: North-Holland mathematical library ; v. 13
  identifier: 9780080954202
  identifier: 0080954200
  identifier: 9786613837929
  identifier: 661383792X
  identifier: 0444107312
  identifier: 9780444107312
  identifier: 0720424593
  identifier: 9780720424591
  identifier: 072042450X
  identifier: 9780720424508
  identifier: 74083269
  identifier: 1093144:10877361 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OCLCE
    record creation date: 111123
    record change date: 20260326190624.1
    record identifier: in00005748822
    language of cataloging:
      language term: eng