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: Problems and Theorems in Analysis I
    sub title: Series. Integral Calculus. Theory of Functions
  name:
    name part: Pólya, George.
    role:
      role term: creator
  name:
    name part: Szegö, Gabor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1972
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (XXII, 392 pages)
  abstract: From the reviews: "The work is one of the real classics of this century; it has had much influence on teaching, on research in several branches of hard analysis, particularly complex function theory, and it has been an essential indispensable source book for those seriously interested in mathematical problems. These volumes contain many extraordinary problems and sequences of problems, mostly from some time past, well worth attention today and tomorrow. Written in the early twenties by two young mathematicians of outstanding talent, taste, breadth, perception, perseverence, and pedagogical skill, this work broke new ground in the teaching of mathematics and how to do mathematical research. (Bulletin of the American Mathematical Society).
  table of contents: Infinite Series and Infinite Sequences -- Operations with Power Series -- Linear Transformations of Series. A Theorem of Cesàro -- The Structure of Real Sequences and Series -- Miscellaneous Problems -- Integration -- The Integral as the Limit of a Sum of Rectangles -- Inequalities -- Some Properties of Real Functions -- Various Types of Equidistribution -- Functions of Large Numbers -- Functions of One Complex Variable. General Part -- Complex Numbers and Number Sequences -- Mappings and Vector Fields -- Some Geometrical Aspects of Complex Variables -- Cauchy's Theorem. The Argument Principle -- Sequences of Analytic Functions -- The Maximum Principle.
  note: by George Pólya, Gabor Szegö.
  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: Classics in mathematics ; 193
  identifier: 9783642619830 (electronic bk.)
  identifier: 3642619835 (electronic bk.)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: I9W
    record creation date: 121227
    record change date: 20260420202801.5
    record identifier: in00003541507
    language of cataloging:
      language term: eng