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: Elementary Analysis through Examples and Exercises
  name:
    name part: Schmeelk, John.
    role:
      role term: creator
  name:
    name part: Takači, Djurdjica.
  name:
    name part: Takači, Arpad.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    date issued: 1995
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (ix, 321 pages)
  abstract: This volume on mathematical analysis offers a comprehensive set of both traditional and new examples and exercises with detailed solutions. It includes many topics important in current research that are not found in other basic analysis books. It begins with a comparison of real numbers viewed as a totally ordered field or, alternatively, constructed using the Dedekind cut method. Properties surrounding real numbers are explored and many interesting relationships are proven using mathematical induction. Functions are then developed with special emphasis on topics such as asymptotics, n-levels of composition and periodicity of certain functions. Sequences and series for both the discrete and continuous case are concurrently developed showing contrast wherever possible. The order of growth for sequences diverging to infinity is incorporated with its counterpart given for functions. The usual properties of functions, together with their limit theory including the differential calculus are compared carefully with examples illustrating their fundamental properties. The graphs of these functions are then closely studied giving as much detail as possible for a wide variety of functions. Audience: Undergraduate and graduate students in all areas of mathematical science and its applications.
  note: by John Schmeelk, Djurdjica Takači, Arpad Takači.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Mathematics
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Kluwer Texts in the Mathematical Sciences, A Graduate-Level Book Series ; 10
  identifier: 9789401585897 (electronic bk.)
  identifier: 940158589X (electronic bk.)
  identifier: 9789048145904
  identifier: 9048145902
  identifier: 940158589X
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130125
    record change date: 20260422210942.2
    record identifier: in00003562307
    language of cataloging:
      language term: eng