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: Complements of Higher Mathematics
  name:
    name part: Marin, Marin.
    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: Öchsner, Andreas.
    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: VIII, 353 p. online resource.
  abstract: This book highlights the remarkable importance of special functions, operational calculus, and variational methods. A considerable portion of the book is dedicated to second-order partial differential equations, as they offer mathematical models of various phenomena in physics and engineering. The book provides students and researchers with essential help on key mathematical topics, which are applied to a range of practical problems. These topics were chosen because, after teaching university courses for many years, the authors have found them to be essential, especially in the contexts of technology, engineering and economics. Given the diversity topics included in the book, the presentation of each is limited to the basic notions and results of the respective mathematical domain. Chapter 1 is devoted to complex functions. Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions of a complex variable plays in mathematical physics, especially in the modeling of plane problems. In addition, the book demonstrates the importance of the theories of special functions, operational calculus, and variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.
  table of contents: Complex Functions -- Special Functions -- Operational Calculus -- Fourier's Transform -- Calculus of Variations -- Quasi-linear Equations -- Hyperbolical Equations -- Parabolic Equations -- Elliptic Partial Differential Equations -- Optimal Control.
  note: by Marin Marin, Andreas Öchsner.
  subject:
    topic: Engineering mathematics
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematical physics
  subject:
    topic: Engineering Mathematics
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Mathematical Applications in the Physical Sciences
  classification: TA329-348
  classification: 620.00151
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783319746845
  identifier: https://doi.org/10.1007/978-3-319-74684-5
  record info:
    record creation date: 180213
    record change date: 20191025102958.0
    record identifier: 978-3-319-74684-5