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: Integration theory
  name:
    name part: Filter, Wolfgang
    name part: 1954-
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Weber, Karl
    name part: 1947-
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: xx
    date issued: 2020
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (296 pages)
  abstract: This introductory text acts as a singular resource for undergraduates learning the fundamental principles and applications of integration theory. Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures, elements of the theory of real functions on R.
  table of contents: Introduction Function Spaces and Functionals Ordered Sets, Lattices The Spaces RX and R-X Vector Lattices of Functions Functionals Daniell Spaces The Extension of Daniell Spaces Upper Functions Lower Functions The Closure of (x, L, I) Convergence of Theorems in (x, L(L), I) Examples Null Functions and Null Sets, Integrability Examples The Induction Principle Summary Measure and Integral The Extension of Positive Measure Spaces Examples Locally Integrable Functions Product Measures Fubini's Theorem Measures of Hausdorff Spaces Lp-Spaces Vector Lattices, Lp-Spaces Spaces of Measures The Vector Lattice Structure The Variation Hahn's Theorem Absolute Continuity The Radon-Nikodym Theorem Elements of the Theory of Real Functions on R Functions of Locally Finite Variation Absolutely Continuous Functions
  note: W. Filter and K. Weber.
  note: Originally published: London : Chapman & Hall, 1997.
  note: Includes indexes.
  note: W. Filter Professor of Analysis University of Palermo Italy. K. Weber Professor of Mathematics Technikum Winterthur Switzerland.
  subject:
    topic: Integrals, Generalized
  subject:
    topic: Measure theory
  subject:
    topic: Functions of real variables
  subject:
    topic: Intégrales généralisées
  subject:
    topic: Théorie de la mesure
  subject:
    topic: Fonctions de variables réelles
  subject:
    topic: MATHEMATICS
    topic: Differential Equations
  subject:
    topic: Functions of real variables
  subject:
    topic: Integrals, Generalized
  subject:
    topic: Measure theory
  classification: QA312
  classification: 515/.42
  related item:
    title info:
      title: Chapman and Hall mathematics series
  identifier: 9780203750568
  identifier: 020375056X
  identifier: 9781351437783
  identifier: 135143778X
  identifier: 9781351437776
  identifier: 1351437771
  identifier: 9781351437769
  identifier: 1351437763
  identifier: 9780412576805
  identifier: 9780367834494
  identifier: 9780203750568 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: TYFRS
    record creation date: 200512
    record change date: 20241111204835.9
    record identifier: in00005528995
    language of cataloging:
      language term: eng