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: Measure Theory
  name:
    name part: Bogachev, Vladimir I.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXX, 1075 p. online resource.
  abstract: Measure theory is a classical area of mathematics that continues intensive development and has fruitful connections with most other fields of mathematics as well as important applications in physics. This book gives a systematic presentation of modern measure theory as it has developed over the past century and offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course (the material of this level corresponds to a variety of special courses), and, finally, more specialized topics partly covered by more than 850 exercises. Bibliographical and historical comments and an extensive bibliography with 2000 works covering more than a century are provided. Volume 1 is devoted to the classical theory of measure and integral. Whereas the first volume presents the ideas that go back mainly to Lebesgue, the second volume is to a large extent the result of the later development up to the recent years. The central subjects of Volume 2 are: transformations of measures, conditional measures, and weak convergence of measures. These topics are closely interwoven and form the heart of modern measure theory. The target readership includes graduate students interested in deeper knowledge of measure theory, instructors of courses in measure and integration theory, and researchers in all fields of mathematics. The book may serve as a source for many advanced courses or as a reference.
  table of contents: Constructions and extensions of measures -- The Lebesgue integral -- Operations on measures and functions -- The spaces Lp and spaces of measures -- Connections between the integral and derivative -- Borel, Baire and Souslin sets -- Measures on topological spaces -- Weak convergence of measure -- Transformations of measures and isomorphisms -- Conditional measures and conditional.
  note: by Vladimir I. Bogachev.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Functional analysis
  subject:
    topic: Measure theory
  subject:
    topic: Probabilities
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Measure and Integration
  subject:
    topic: Functional Analysis
  subject:
    topic: Probability Theory and Stochastic Processes
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783540345145
  identifier: http://dx.doi.org/10.1007/978-3-540-34514-5
  record info:
    record creation date: 100301
    record change date: 20151204144848.0
    record identifier: 978-3-540-34514-5