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: Aspects of Integrability of Differential Systems and Fields
    sub title: A Mathematical Primer for Physicists
  name:
    name part: Papachristou, Costas J.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2019
    edition: 1st ed. 2019.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 94 p. 20 illus. online resource.
  abstract: This book serves as an introduction to the concept of integrability as it applies to systems of differential equations as well as to vector-valued fields. The author focuses on specific aspects of integrability that are often encountered in a variety of problems in applied mathematics, physics and engineering. The following general cases of integrability are examined: (a) path-independence of line integrals of vector fields on the plane and in space; (b) integration of a system of ordinary differential equations by using first integrals; and (c) integrable systems of partial differential equations. Special topics include the integration of analytic functions and some elements from the geometric theory of differential systems. Certain more advanced subjects, such as Lax pairs and Bäcklund transformations, are also discussed. The book is written at an intermediate level for educational purposes. The presentation is as simple as the topics allow, often sacrificing mathematical rigor in favor of pedagogical efficiency.
  table of contents: Integrability on the plane and in space -- Integrability on the complex plane -- Ordinary differential equations -- Systems of ordinary differential equations -- Differential systems: Geometric viewpoint -- Integrable systems of partial differential equations.
  note: by Costas J. Papachristou.
  subject:
    topic: Physics
  subject:
    topic: Mathematical physics
  subject:
    topic: Differential equations
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Mathematical Physics
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Partial Differential Equations
  classification: QC5.53
  classification: 530.15
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: SpringerBriefs in Physics
  identifier: 9783030350024
  identifier: https://doi.org/10.1007/978-3-030-35002-4
  record info:
    record creation date: 200101
    record change date: 20200101103727.0
    record identifier: 978-3-030-35002-4