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: Mathematical analysis fundamentals
  name:
    name part: Bashirov, Agamirza E.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    date issued: 2014
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource.
  abstract: The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers. Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus.
  table of contents: 1. Sets and proofs -- 2. Numbers -- 3. Convergence -- 4. Point set theory -- 5. Continuity -- 6. Space C(E, E') -- 7. Differentiation -- 8. Bounded variation -- 9. Riemann integration -- 10. Generalizations of Riemann integration -- 11. Transcendental functions -- 12. Fourier series and integrals.
  note: A.E. Bashirov.
  note: Includes bibliographical references.
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analyse mathématique
  subject:
    topic: MATHEMATICS
    topic: Calculus
  subject:
    topic: MATHEMATICS
    topic: Mathematical Analysis
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis
  classification: QA300
  classification: 515
  related item:
    title info:
      title: Mathematical analysis fundamentals
    name:
      name part: Bashirov, Agamirza E.
    identifier: (OCoLC)870424847
  related item:
    title info:
      title: Elsevier insights
  identifier: 9780128010501
  identifier: 0128010509
  identifier: 9780128010013
  identifier: 0128010010
  identifier: 9780128102695 (pbk)
  identifier: 0128102691 (pbk)
  identifier: 2014931794
  identifier: 6088507835407181952 TotalBoox
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 140403
    record change date: 20260326200521.3
    record identifier: in00005754089
    language of cataloging:
      language term: eng