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: INTRODUCTION TO ARNOLDS PROOF OF THE KOLMOGOROVARNOLDMOSER THEOREM
  name:
    name part: Feldmeier, Achim.
    role:
      role term: creator
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: xx
    place:
      place term: S.l.]
    publisher: CRC PRESS
    date issued: 2022
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource
  abstract: INTRODUCTION TO ARNOLD'S PROOF OF THE KOLMOGOROV-ARNOLD-MOSER THEOREM This book provides an accessible step-by-step account of Arnold's classical proof of the Kolmogorov-Arnold-Moser (KAM) Theorem. It begins with a general background of the theorem, proves the famous Liouville-Arnold theorem for integrable systems and introduces Kneser's tori in four-dimensional phase space. It then introduces and discusses the ideas and techniques used in Arnold's proof, before the second half of the book walks the reader through a detailed account of Arnold's proof with all the required steps. It will be a useful guide for advanced students of mathematical physics, in addition to researchers and professionals. Features Applies concepts and theorems from real and complex analysis (e.g., Fourier series and implicit function theorem) and topology in the framework of this key theorem from mathematical physics. Covers all aspects of Arnold's proof, including those often left out in more general or simplifi ed presentations. Discusses in detail the ideas used in the proof of the KAM theorem and puts them in historical context (e.g., mapping degree from algebraic topology).
  table of contents: Hamilton theory -- Preliminaries -- Outline of the KAM proof -- Proof of the KAM theorem -- Analytic lemmas -- Geometric lemmas -- Convergence lemmas -- Arithmetic lemmas.
  note: Author Achim Feldmeier is a professor at Universitt̃ Potsdam, Germany.
  subject:
    topic: System theory
  subject:
    topic: Théorie des systèmes
  subject:
    topic: SCIENCE / Mathematical Physics
  subject:
    topic: SCIENCE / Mechanics / Dynamics / General
  subject:
    topic: MATHEMATICS / General
  subject:
    topic: System theory
  classification: Q295
  classification: 003
  related item:
    identifier: (OCoLC)1292350587
  identifier: 9781000609974
  identifier: 1000609979
  identifier: 9781003287803
  identifier: 1003287808
  identifier: 9781000610000
  identifier: 1000610004
  identifier: 1032260653
  identifier: 9781032260655
  identifier: 9781003287803 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: YDX
    record creation date: 220507
    record change date: 20241111204845.0
    record identifier: in00005529065
    language of cataloging:
      language term: eng