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: Partial differential equations of mathematical physics
  title info:
    title: Uravnenii︠a︡ matematicheskoĭ fiziki. English
  name:
    name part: Sobolev, S. L. (Sergeĭ Lʹvovich)
    name part: 1908-1989
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 1964
    issuance: monographic
  language:
    language term: eng
  language:
    language term: rus
  physical description:
    form: remote
    extent: 1 online resource (x, 427 pages) : illustrations
  abstract: Partial Differential Equations of Mathematical Physics emphasizes the study of second-order partial differential equations of mathematical physics, which is deemed as the foundation of investigations into waves, heat conduction, hydrodynamics, and other physical problems.
  table of contents: Derivation of the fundamental equations -- The formulation of problems of mathematical physics. Hadamard's example -- The classification of linear equations of the second order -- The equation for a vibrating string and its solution by D'Alembert's method -- Riemann's method -- Multiple integrals: Lebesgue integration -- Integrals dependent on a parameter -- The equation of heat conduction -- Laplace's equation and Poisson's equation -- Some general consequences of Green's formula -- Poisson's equation in an unbounded medium: Newtonian potential -- The solution of the Dirichlet problem for a half-space -- The wave equation and the retarded potential -- Properties of the potentials of single and double layers -- Reduction of the Dirichlet problem and the Neumann problem to integral equations -- Laplace's equation and Poisson's equation in a plane -- The theory of integral equations -- Application of the theory of Fredholm equations to the solution of the Dirichlet and Neumann problems -- Green's function -- Green's function for the Laplace operator -- Correctness of formulation of the boundary-value problems of mathematical physics -- Fourier's method -- Integral equations with real, symmetric kernels -- The bilinear formula and the Hilbert-Schmidt theorem -- The inhomogeneous integral equation with a symmetric kernel -- Vibrations of a rectangular parallelepiped -- Laplace's equation in curvilinear coordinates. Examples of the use of Fourier's method -- Harmonic polynomials and spherical functions -- Some elementary properties of Spherical functions.
  note: S.L. Sobolev ; translated from the 3d Russion ed. by E.R. Dawson. English translation edited by T.A.A. Broadbent.
  note: Translation of Uravnenii︠a︡ matematicheskoĭ fiziki.
  note: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
  note: digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
  note: English.
  subject:
    topic: Mathematical physics
  subject:
    topic: Differential equations, Partial
  subject:
    topic: Physique mathématique
  subject:
    topic: Équations aux dérivées partielles
  subject:
    topic: Differential equations, Partial
  subject:
    topic: Mathematical physics
  subject:
    topic: Mathematische Physik
  subject:
    topic: Partielle Differentialgleichung
  subject:
    topic: Partiële differentiaalvergelijkingen
  subject:
    topic: Mathematische fysica
  subject:
    topic: Fisica Matematica
  subject:
    topic: Differential equations, Partial
  classification: QA401 .S613 1964eb
  classification: 530.15
  classification: 31.45
  classification: SK 540
  related item:
    title info:
      title: Partial differential equations of mathematical physics
    title info:
      title: Uravnenii︠a︡ matematicheskoĭ fiziki. English
    name:
      name part: Sobolev, S.L. (Sergeĭ Lʹvovich), 1908-1989.
    identifier: (DLC) 63019262
    identifier: (OCoLC)529386
  related item:
    title info:
      title: Adiwes international series in mathematics
  identifier: 9780080104249
  identifier: 008010424X
  identifier: 9781483149165
  identifier: 1483149161
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 141003
    record change date: 20260326210729.1
    record identifier: in00005756533
    language of cataloging:
      language term: eng