000 04422cam a2200529 i 4500
001 200468151
003 TR-AnTOB
005 20260416142304.0
007 ta
008 141003s1964 maua o 000 0 eng d
020 _a9780080104249
_qelectronic bk.
020 _a008010424X
_qelectronic bk.
020 _a9781483149165
020 _a1483149161
035 _a(OCoLC)892067969
_z(OCoLC)898771794
_z(OCoLC)904151072
040 _aOPELS
_beng
_erda
_epn
_cOPELS
_dEBLCP
_dN$T
_dHEBIS
_dE7B
_dOCLCE
_dDEBSZ
_dYDXCP
_dTR-AnTOB
041 1 _aeng
_hrus
050 1 4 _aQA401
_b.S6313 1964
090 _aQA401
_b.S6313 1964
100 1 _aSobolev, S. L.
_q(Sergeĭ Lʹvovich),
_d1908-1989
_9153737
_eauthor
240 1 0 _aUravneniia matematicheskoĭ fiziki.
_lEnglish
245 1 0 _aPartial differential equations of mathematical physics /
_c[by] S.L. Sobolev ; Translated from the third Russion edition by E.R. Dawson ; English translation edited by T.A.A. Broadbent.
264 1 _aOxford,
_aNew York,
_bPergamon Press [U.S.A. ed. distributed by Addison-Wesley Pub. Co., Reading, Mass.]
_c1964.
300 _aix, 427 pages :
_billustrations ;
_c21 cm
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 0 _aAdiwes international series in mathematics
500 _aTranslation of Uravneniia matematicheskoĭ fiziki.
505 0 _aDerivation 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.
506 _3Use copy
_fRestrictions unspecified
_2star
_5MiAaHDL
520 _aPartial 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.
533 _aElectronic reproduction.
_b[S.l.] :
_cHathiTrust Digital Library,
_d2011.
_5MiAaHDL
538 _aMaster and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
_uhttp://purl.oclc.org/DLF/benchrepro0212
_5MiAaHDL
583 1 _adigitized
_c2011
_hHathiTrust Digital Library
_lcommitted to preserve
_2pda
_5MiAaHDL
588 0 _aPrint version record.
650 0 _aMathematical physics
_91369
650 0 _aDifferential equations, Partial
_91008
655 4 _aElectronic books.
_92032
655 0 _aElectronic books.
_92032
700 1 _aDawson, E.R.
_etranslator editor
_9152533
700 1 _aBroadbent, T.A.A.
_etranslator
_9153738
773 0 _tLegacy Collection of eBooks
776 0 8 _iPrint version:
_aSobolev, S. L. (Sergeĭ Lvovich), 1908-1989.
_sUravneniia matematicheskoĭ fiziki. English.
_tPartial differential equations of mathematical physics
_z9781483149165
_w(DLC) 63019262
_w(OCoLC)529386
942 _2lcc
_cBK
999 _c200468151
_d86363