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: Single Variable Differential and Integral Calculus
    sub title: Mathematical Analysis
  name:
    name part: Mahmudov, Elimhan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: fr
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 373 p. online resource.
  abstract: The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important business fields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequences of functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems and examples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Stieltjes and Lebesque integrals are studied together and compared.
  table of contents: Introduction to Numbers and Set Theory -- Sequences and Series -- Limits and Continuity of Functions -- Differential Calculus -- Some Basic Properties of Differentiable Functions -- Polynomials and Interpolations -- Applications of Differential Calculus to Limit Calculations and Extremum Problems -- The Indefinite Integral -- The Definite Integral -- Applications of the Definite Integral.
  note: by Elimhan Mahmudov.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Ordinary Differential Equations
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  identifier: 9789491216862
  identifier: http://dx.doi.org/10.2991/978-94-91216-86-2
  record info:
    record creation date: 130321
    record change date: 20151204165924.0
    record identifier: 978-94-91216-86-2