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: Lang, Serge.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1999
    edition: Fourth edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xiv, 489 pages)
  abstract: This is the fourth edition of Serge Lang's Complex Analysis. The first part of the book covers the basic material of complex analysis, and the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than in other texts, and the proofs using these methods often shed more light on the results than the standard proofs do. The first part of Complex Analysis is suitable for an introductory course on the undergraduate level, and the additional topics covered in the second part give the instructor of a graduate course a great deal of flexibility in structuring a more advanced course. This is a revised edition, new examples and exercises have been added, and many minor improvements have been made throughout the text.
  table of contents: I: Basic Theory: Complex Numbers and Functions. Power Series. Cauchy's Theorem, First Part. Winding Numbers and Cauchy's Theorem. Applications of Cauchy's Integral Formula. Calculus of Residues. Conformal Mappings. Harmonic Functions -- II: Geometric Function Theory: Schwarz Reflection. The Riemann Mapping Theorem. Analytic Continuation Along Curves -- III: Various Analytic Topics: Applications of the Maximum Modulus Principle and Jensen's Formula. Entire and Meromorphic Functions. Elliptic Functions. The Gamma and Zeta Functions. The Prime Number Theorem.
  note: by Serge Lang.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Mathematics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Graduate texts in mathematics ; 103
  identifier: 9781475730838 (electronic bk.)
  identifier: 1475730837 (electronic bk.)
  identifier: 9781441931351
  identifier: 144193135X
  identifier: 1475730837
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130107
    record change date: 20260422201746.5
    record identifier: in00003568730
    language of cataloging:
      language term: eng