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:
    non sort: A
    title: Problem Book in Real Analysis
  name:
    name part: Aksoy, Asuman G.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Khamsi, Mohamed A.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 254 p. online resource.
  abstract: Today, nearly every undergraduate mathematics program requires at least one semester of real analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of A Problem Book in Real Analysis is to alleviate those concerns by systematically solving the problems related to the core concepts of most analysis courses. In doing so, the authors hope that learning analysis becomes less taxing and more satisfying. The wide variety of exercises presented in this book range from the computational to the more conceptual and varies in difficulty. They cover the following subjects: set theory; real numbers; sequences; limits of the functions; continuity; differentiability; integration; series; metric spaces; sequences; and series of functions and fundamentals of topology. Furthermore, the authors define the concepts and cite the theorems used at the beginning of each chapter. A Problem Book in Real Analysis is not simply a collection of problems; it will stimulate its readers to independent thinking in discovering analysis. Prerequisites for the reader are a robust understanding of calculus and linear algebra.
  table of contents: Elementary Logic and Set Theory -- Real Numbers -- Sequences -- Limits of Functions -- Continuity -- Differentiability -- Integration -- Series -- Metric Spaces -- Fundamentals of Topology -- Sequences and Series of Functions.
  note: by Asuman G. Aksoy, Mohamed A. Khamsi.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Functions of real variables
  subject:
    topic: Mathematics
  subject:
    topic: Real Functions
  subject:
    topic: Analysis
  classification: QA331.5
  classification: 515.8
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Problem Books in Mathematics
  identifier: 9781441912961
  identifier: http://dx.doi.org/10.1007/978-1-4419-1296-1
  record info:
    record creation date: 100715
    record change date: 20151204154315.0
    record identifier: 978-1-4419-1296-1