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: Inside Calculus
  name:
    name part: Exner, George R.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2000
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 212 p. online resource.
  abstract: The approach taken by this book is based on two beliefs. The first is that almost nobody understands calculus fully the first time around: multiple exposures are required. The second belief is that graphing calculators can be used to make the introduction of the theory of limits much easier for the students. This book presents the theoretical pieces of introductory calculus, using appropriate technology, in a style suitable to accompany almost any first calculus text. It offers a large range of increasingly sophisticated examples and problems to build understanding of the notion of limit and other theoretical concepts. It is aimed at students who will study fields in which the understanding of calculus as a tool is not sufficient. The text uses the "spiral approach" of teaching, returning again and again to difficult topics, anticipating such returns across the calculus courses in preparation for the first analysis course. The book may be used as the "content" text for a transition to upper level mathematics course.
  table of contents: Limits -- Continuity -- The Language of Theorems -- Theorems about Continuous functions -- Limit Proofs -- Limit Theorems -- Which Functions are Continuous? -- Derivatives -- Theorems about the Derivative -- Other Limits.
  note: by George R. Exner.
  subject:
    topic: Mathematics
  subject:
    topic: Functions of real variables
  subject:
    topic: Mathematics
  subject:
    topic: Real Functions
  classification: QA331.5
  classification: 515.8
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Undergraduate Texts in Mathematics
  identifier: 9780387226460
  identifier: http://dx.doi.org/10.1007/b97700
  record info:
    record creation date: 100301
    record change date: 20151112021314.0
    record identifier: 978-0-387-22646-0