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:
    non sort: A
    title: First Course in Differential Equations
  name:
    name part: David Logan, J.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 290 p. online resource.
  abstract: This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. The topics include: * separable and linear first-order equations; * autonomous equations; * second order linear homogeneous and nonhomogeneous equations; * Laplace transforms; * linear and nonlinear systems in the phase plane. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is presented, and an appendix contains templates of Maple and MATLAB commands and programs which are useful in differential equations.
  table of contents: Preface -- Differential Equations and Models -- Analytic Solutions and Approximations.-Second-Order Differential Equations -- Laplace Transforms -- Linear Systems -- Nonlinear Systems -- Appendix A: References -- Appendix B: A Brief on MATLAB -- Appendix C: Maple Commands -- Appendix D: Sample Examinations -- Appendix E: Solutions to Selected Exercises.
  note: by J. David Logan.
  subject:
    topic: Mathematics
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Differential equations
  subject:
    topic: Partial differential equations
  subject:
    topic: Mathematics
  subject:
    topic: Ordinary Differential Equations
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  subject:
    topic: Partial Differential Equations
  classification: QA372
  classification: 515.352
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Undergraduate Texts in Mathematics
  identifier: 9780387299303
  identifier: http://dx.doi.org/10.1007/0-387-29930-0
  record info:
    record creation date: 100301
    record change date: 20151116134225.0
    record identifier: 978-0-387-29930-3