The Resource Partial differential equations of mathematical physics, [by] S.L. Sobolev. Translated from the 3d Russion ed. by E.R. Dawson. English translation edited by T.A.A. Broadbent

Partial differential equations of mathematical physics, [by] S.L. Sobolev. Translated from the 3d Russion ed. by E.R. Dawson. English translation edited by T.A.A. Broadbent

Label
Partial differential equations of mathematical physics
Title
Partial differential equations of mathematical physics
Statement of responsibility
[by] S.L. Sobolev. Translated from the 3d Russion ed. by E.R. Dawson. English translation edited by T.A.A. Broadbent
Creator
Subject
Language
  • eng
  • rus
  • eng
Member of
Cataloging source
DLC/ICU
http://library.link/vocab/creatorDate
1908-1989
http://library.link/vocab/creatorName
Sobolev, S. L.
Illustrations
illustrations
Index
no index present
LC call number
QA401
LC item number
.S613 1964
Literary form
non fiction
Series statement
Adiwes international series in mathematics.
http://library.link/vocab/subjectName
  • Mathematical physics
  • Differential equations, Partial
  • Differential equations, Partial
  • Mathematical physics
  • Partiële differentiaalvergelijkingen
  • Mathematische fysica
  • Fisica Matematica
  • Mathematische Physik
  • Partielle Differentialgleichung
  • Mathematische Physik
  • Partielle Differentialgleichung
Label
Partial differential equations of mathematical physics, [by] S.L. Sobolev. Translated from the 3d Russion ed. by E.R. Dawson. English translation edited by T.A.A. Broadbent
Instantiates
Publication
Note
Translation of Uravneni͡a matematicheskoĭ fiziki (title transliterated)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
24 cm.
Extent
x, 427 pages
Lccn
63019262
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)529386
Label
Partial differential equations of mathematical physics, [by] S.L. Sobolev. Translated from the 3d Russion ed. by E.R. Dawson. English translation edited by T.A.A. Broadbent
Publication
Note
Translation of Uravneni͡a matematicheskoĭ fiziki (title transliterated)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
24 cm.
Extent
x, 427 pages
Lccn
63019262
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)529386

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