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: Complex analysis
  name:
    name part: Gamelin, Theodore W.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 2001
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xviii, 478 pages) : illustrations.
  abstract: The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. It conists of sixteen chapters. The first eleven chapters are aimed at an Upper Division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied in the book include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces. The three geometries, spherical, euclidean, and hyperbolic, are stressed. Exercises range from the very simple to the quite challenging, in all chapters. The book is based on lectures given over the years by the author at several places, including UCLA, Brown University, the universities at La Plata and Buenos Aires, Argentina; and the Universidad Autonomo de Valencia, Spain.
  table of contents: Complex plane and elementary functions -- Analytic functions -- Line integrals and harmonic functions -- Complex integration and analyticity -- Power series -- Laurent series and isolated singularities -- Residue calculus -- Logarithmic integral -- Schwarz Lemma and hyperbolic geometry -- Harmonic functions and the reflection principle -- Conformal mapping -- Compact families of meromorphic functions -- Approximation theorems -- Some special functions -- Dirichlet problem -- Riemann surfaces.
  note: Theodore W. Gamelin.
  note: Includes bibliographical references (pages 469) and index.
  subject:
    topic: Mathematical analysis
  subject:
    topic: Functions of complex variables
  subject:
    topic: Complexe variabelen
  subject:
    topic: Analyse mathematique
  subject:
    topic: Fonctions d'une variable complexe
  subject:
    topic: Funktionentheorie
  subject:
    topic: Fonctions d'une variable complexe
  subject:
    topic: Analyse mathématique
  subject:
    topic: Fonctions de plusieurs variables complexes
  subject:
    topic: Fonctions analytiques
  subject:
    topic: Riemann, Surfaces de
  subject:
    topic: Fonctions méromorphes
  subject:
    topic: Functions of complex variables
  subject:
    topic: Mathematical analysis
  classification: QA300 .G25 2001eb
  classification: 515
  classification: 31.42
  related item:
    title info:
      title: Complex analysis
    name:
      name part: Gamelin, Theodore W.
    identifier: (DLC) 00041905
    identifier: (OCoLC)44162561
  related item:
    title info:
      title: Undergraduate texts in mathematics
  identifier: 9780387216072 (electronic bk.)
  identifier: 0387216073 (electronic bk.)
  identifier: 0387950699
  identifier: 9780387950693
  identifier: 0387950931
  identifier: 9780387950938
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 140711
    record change date: 20260422164741.0
    record identifier: in00003552024
    language of cataloging:
      language term: eng