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: Foundations of Differential Calculus
  name:
    name part: Euler.
    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: XVI, 194 p. online resource.
  abstract: What differential calculus, and, in general, analysis ofthe infinite, might be can hardly be explainedto those innocent ofany knowledge ofit. Nor can we here offer a definition at the beginning of this dissertation as is sometimes done in other disciplines. It is not that there is no clear definition of this calculus; rather, the fact is that in order to understand the definition there are concepts that must first be understood. Besides those ideas in common usage, there are also others from finite analysis that are much less common and are usually explained in the courseofthe development ofthe differential calculus. For this reason, it is not possible to understand a definition before its principles are sufficiently clearly seen. In the first place, this calculus is concerned with variable quantities. Although every quantity can naturally be increased or decreased without limit, still, since calculus is directed to a certain purpose, we think of some quantities as being constantly the same magnitude, while others change through all the .stages of increasing and decreasing. We note this distinc­ tion and call the former constant quantities and the latter variables. This characteristic difference is not required by the nature of things, but rather because of the special question addressed by the calculus.
  table of contents: On Finite Differences -- On the Use of Differences in the Theory of Series -- On the Infinite and the Infinitely Small -- On the Nature of Differentials of Each Order -- On the Differentiation of Algebraic Functions of One Variable -- On the Differentiation of Transcendental Functions -- On the Differentiation of Functions of Two or More Variables -- On the Higher Differentiation of Differential Formulas -- On Differential Equations.
  note: by Euler.
  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
  identifier: 9780387226453
  identifier: http://dx.doi.org/10.1007/b97699
  record info:
    record creation date: 100301
    record change date: 20151204175502.0
    record identifier: 978-0-387-22645-3