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 I
  name:
    name part: Canuto, Claudio.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Tabacco, Anita.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: it
    date issued: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 433 p. online resource.
  abstract: The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques. Proofs to the main results befit the intermediate level, together with several remarks and complementary notes enhancing the treatise. The last, and farthest-reaching, level consists of links to online material, which enable the strongly motivated reader to explore further into the subject. Definitions and properties are furnished with substantial examples to stimulate the learning process. Over 350 solved exercises complete the text, at least half of which guide the reader to the solution.
  table of contents: Basic notions -- Functions -- Limits and continuity I -- Limits and continuity II -- Local comparison of functions. Numerical sequences and series -- Differential calculus -- Taylor expansions and applications -- Geometry in the plane and in space -- Integral calculus I -- Integral calculus II -- Ordinary differential equations.
  note: by Claudio Canuto, Anita Tabacco.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Functional analysis
  subject:
    topic: Integral equations
  subject:
    topic: Integral transforms
  subject:
    topic: Operational calculus
  subject:
    topic: Differential equations
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Functional Analysis
  subject:
    topic: Integral Equations
  subject:
    topic: Integral Transforms, Operational Calculus
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Partial Differential Equations
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9788847008762
  identifier: http://dx.doi.org/10.1007/978-88-470-0876-2
  record info:
    record creation date: 100301
    record change date: 20151125021923.0
    record identifier: 978-88-470-0876-2