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  title info:
    non sort: A
    title: primer of real analytic functions
  name:
    name part: Krantz, Steven G. (Steven George)
    name part: 1951-
    role:
      role term: creator
    role:
      role term: author
  name:
    name part: Parks, Harold R.
    name part: 1949-
  type of resource: text
  genre: bibliography
  origin info:
    place:
      place term: mau
    date issued: 2002
    edition: 2nd ed.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    internet media type: text/html
    extent: xii, 205 pages : illustrations ; 23 cm.
  table of contents: 1. Elementary Properties -- 1.1. Basic Properties of Power Series -- 1.2. Analytic Continuation -- 1.3. The Formula of Faa di Bruno -- 1.4. Composition of Real Analytic Functions -- 1.5. Inverse Functions -- 2. Multivariable Calculus of Real Analytic Functions -- 2.1. Power Series in Several Variables -- 2.2. Real Analytic Functions of Several Variables -- 2.3. The Implicit Function Theorem -- 2.4. A Special Case of the Cauchy-Kowalewsky Theorem -- 2.5. The Inverse Function Theorem -- 2.6. Topologies on the Space of Real Analytic Functions -- 2.7. Real Analytic Submanifolds -- 2.8. The General Cauchy-Kowalewsky Theorem -- 3. Classical Topics -- 3.0. Introductory Remarks -- 3.1. The Theorem of Pringsheim and Boas -- 3.2. Besicovitch's Theorem -- 3.3. Whitney's Extension and Approximation Theorems -- 3.4. The Theorem of S. Bernstein -- 4. Some Questions of Hard Analysis -- 4.1. Quasi-analytic and Gevrey Classes -- 4.2. Puiseux Series -- 4.3. Separate Real Analyticity -- 5. Results Motivated by Partial Differential Equations -- 5.1. Division of Distributions I -- 5.2. Division of Distributions II -- 5.3. The FBI Transform -- 5.4. The Paley-Wiener Theorem -- 6. Topics in Geometry -- 6.1. The Weierstrass Preparation Theorem -- 6.2. Resolution of Singularities -- 6.3. Lojasiewicz's Structure Theorem for Real Analytic Varieties -- 6.4. The Embedding of Real Analytic Manifolds -- 6.5. Semianalytic and Subanalytic Sets.
  note: Steven G. Krantz, Harold R. Parks.
  note: Includes bibliographical references (pages 187-201) and index.
  subject:
    topic: Functions of real variables
  subject:
    topic: Mathematical analysis
  subject:
    topic: Fonctions de variables réelles
  subject:
    topic: Analyse mathématique
  subject:
    topic: Functions of real variables
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analytische Funktion
  subject:
    topic: Reelle Funktion
  subject:
    topic: Fonctions analytiques
  subject:
    topic: Reelle Funktion
    topic: Analytische Funktion
  subject:
    topic: Analytische Funktion
    topic: Reelle Funktion
  classification: QA331.5 .K713 2002
  classification: 515/.8
  classification: SK 420
  related item:
    title info:
      title: Primer of Real Analytic Functions
    name:
      name part: Krantz, Steven G.
    origin info:
      publisher: Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2002
      edition: Second edition.
    identifier: (OCoLC)853267530
  related item:
    title info:
      title: Birkhäuser advanced texts
  identifier: 0817642641
  identifier: 9780817642648
  identifier: 3764342641
  identifier: 9783764342647
  identifier: 2002021565
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  location:
    physical location: TAG TAGC
  record info:
    record content source: DLC
    record creation date: 020326
    record change date: 20240808224824.2
    record identifier: in00004816809
    language of cataloging:
      language term: eng