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: Calculus of Variations
    sub title: An Introduction to the One-Dimensional Theory with Examples and Exercises
  name:
    name part: Kielhöfer, Hansjörg.
    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: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 227 p. 59 illus. online resource.
  abstract: This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study. The book will be particularly useful for beginning graduate students from the physical, engineering, and mathematical sciences with a rigorous theoretical background. .
  table of contents: Introduction -- The Euler-Language Equation -- Variational Problems with Constraints -- Direct Methods in the Calculus of Variations -- Appendix -- Solutions of the Exercises.
  note: by Hansjörg Kielhöfer.
  subject:
    topic: Calculus of variations
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  classification: QA315-316
  classification: QA402.3
  classification: 515.64
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Texts in Applied Mathematics, 67
  identifier: 9783319711232
  identifier: https://doi.org/10.1007/978-3-319-71123-2
  record info:
    record creation date: 180127
    record change date: 20191024021613.0
    record identifier: 978-3-319-71123-2