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: Methods of Applied Mathematics with a Software Overview
  name:
    name part: Davis, Jon H.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2016
    edition: 2nd ed. 2016.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 781 p. 240 illus., 108 illus. in color. online resource.
  abstract: This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of problems in which the presented techniques are useful. Broadly organized around the theme of applied Fourier analysis, the treatment covers classical applications in partial differential equations and boundary value problems, and a substantial number of topics associated with Laplace, Fourier, and discrete transform theories. Some advanced topics are explored in the final chapters such as short-time Fourier analysis and geometrically based transforms applicable to boundary value problems. The topics covered are useful in a variety of applied fields such as continuum mechanics, mathematical physics, control theory, and signal processing. Replete with helpful examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering. Key features of the software overview: Now relies solely on the free software tools Octave, Maxima, and Python. Appendix introduces all of these tools at a level suitable to those with some programming experience Provides references to sources of further learning. Code snippets incorporated throughout the text. All graphics and illustrations generated using these tools. Praise for the first edition: “The author mixed in a remarkable way theoretical results and applications illustrating the results. Flexibility of presentation (increasing and decreasing level of rigor, accessibility) is a key feature...The book contains extensive examples, presented in an intuitive way with high quality figures (some of them quite spectacular)…
  table of contents: Introduction. Fourier Series -- Elementary Boundary Value Problems -- Strum-Liouville Theory and Boundary Value Problems -- Functions of a Complex Variable -- Laplace Transforms -- Fourier Transforms -- Discrete Variable Transforms -- Additional Topics -- Linear Algebra Overview -- Software Resources -- Transform Tables.
  note: by Jon H. Davis.
  subject:
    topic: Mathematics
  subject:
    topic: Harmonic analysis
  subject:
    topic: Fourier analysis
  subject:
    topic: Functions of complex variables
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Computer mathematics
  subject:
    topic: Physics
  subject:
    topic: Mathematics
  subject:
    topic: Fourier Analysis
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Abstract Harmonic Analysis
  subject:
    topic: Functions of a Complex Variable
  classification: QA403.5-404.5
  classification: 515.2433
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied and Numerical Harmonic Analysis
  identifier: 9783319433707
  identifier: http://dx.doi.org/10.1007/978-3-319-43370-7
  record info:
    record creation date: 161209
    record change date: 20161209140858.0
    record identifier: 978-3-319-43370-7