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: Distributions in the Physical and Engineering Sciences, Volume 2
    sub title: Linear and Nonlinear Dynamics in Continuous Media
  title info:
    title: Volume 2
  name:
    name part: Saichev, Alexander I.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Woyczynski, Wojbor A.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXIV, 409 p. 144 illus., 18 illus. in color. online resource.
  abstract: Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics that are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project that endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations—elliptic, parabolic, and hyperbolic—as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface, and Burger’s equations, KdV equations, and the equations of gas dynamics and porous media are also covered. The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. Features · Application oriented exposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum. · Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. · Clear explanations, motivations, and illustration of all necessary mathematical concepts.
  table of contents: III POTENTIALS, DIFFUSIONS AND WAVES -- 9 Potential Theory and Fundamental Solutions of Elliptic Equations -- 10 Diffusions and Parabolic Evolution Equations -- 11 Waves and Hyperbolic Equations -- 12 First Order Nonlinear PDEs and Conservation Laws -- 13 Generalized Solutions of First Order Nonlinear PDEs -- 14 Nonlinear waves and growing interfaces: 1-D Burgers-KPZ models -- 15 Other Standard Nonlinear Models of Higher Order -- Appendix A: Answers and Solutions -- Appendix B: Bibliographical Notes.
  note: by Alexander I. Saichev, Wojbor A. Woyczynski.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics, general
  classification: QA1-939
  classification: 510
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Applied and Numerical Harmonic Analysis
  identifier: 9780817646523
  identifier: http://dx.doi.org/10.1007/978-0-8176-4652-3
  record info:
    record creation date: 130905
    record change date: 20130913030857.0
    record identifier: 978-0-8176-4652-3