LEADER 04164nam  2200589Ia 450 
001 9910972704903321
005 20251117063216.0
010   $a1-60741-907-6
035   $a(CKB)1000000000786457
035   $a(EBL)3018395
035   $a(SSID)ssj0000190883
035   $a(PQKBManifestationID)12009456
035   $a(PQKBTitleCode)TC0000190883
035   $a(PQKBWorkID)10180271
035   $a(PQKB)11551132
035   $a(MiAaPQ)EBC3018395
035   $a(Au-PeEL)EBL3018395
035   $a(CaPaEBR)ebr10660256
035   $a(OCoLC)923658254
035   $a(BIP)23317790
035   $a(EXLCZ)991000000000786457
100   $a20080709d2008      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aLectures on the differential equations of mathematical physics $ea first course /$fG. Freiling and V. Yurko
205   $a1st ed.
210   $aNew York $cNova Science Publishers$dc2008
215   $a1 online resource (314 p.)
300   $aDescription based upon print version of record.
311 08$a1-60456-928-X 
320   $aIncludes bibliographical references (p. [297]-299) and index.
327   $a""Contents""; ""Preface""; ""Introduction""; ""1.1. Some Examples of Equations of Mathematical Physics""; ""1.2. Classification of Second-Order Partial Differential Equations""; ""1.3. Formulation of Problems of Mathematical Physics""; ""Hyperbolic Partial Differential Equations""; ""2.1. The Cauchy Problem for the Equation of the Vibrating String""; ""2.2. The Mixed Problem for the Equation of the Vibrating String""; ""2.3. The Goursat Problem""; ""2.4. The Riemann Method""; ""2.5. The Cauchy Problem for the Wave Equation""; ""2.6. An Inverse Problem for the WaveEquation""
327   $a""2.7.Inverse Spectral Problems""""2.8. Inverse Scattering on the Line""; ""2.9. The Cauchy Problem for the Korteweg - De Vries Equation""; ""Parabolic Partial Differential Equations""; ""3.1. The Mixed Problem for the Heat Equation""; ""3.2. The Cauchy Problem for the Heat Equation""; ""Elliptic Partial Differential Equations""; ""4.1. Harmonic Functions and Their Properties""; ""4.2. Dirichlet and Neumann Problems""; ""4.3. The Greena???s Function Method""; ""4.4. The Method of Upper and Lower Functions""; ""4.5. The Dirichlet Problem for the Poisson Equation""
327   $a""4.6. The Method of Integral Equations""""4.7. The Variational Method""; ""The Cauchy-Kowalevsky Theorem""; ""Exercises""; ""6.1. Classification of Second-Order Partial Differential Equations""; ""6.2. Hyperbolic Partial Differential Equations""; ""6.3. Parabolic Partial Differential Equations""; ""6.4. Elliptic Partial Differential Equations""; ""6.5. Answers and Hints""; ""References""; ""Index""
330   $aThe theory of partial differential equations of mathematical physics has been one of the most important fields of study in applied mathematics. This is essentially due to the frequent occurrence of partial differential equations in many branches of natural sciences and engineering. The present lecture notes have been written for the purpose of presenting an approach based mainly on the mathematical problems and their related solutions. The primary concern, therefore, is not with the general theory, but to provide students with the fundamental concepts, the underlying principles, and the techniques and methods of solution of partial differential equations of mathematical physics.One of the authors main goals is to present a fairly elementary and complete introduction to this subject which is suitable for the first reading and accessible for students of different specialities.
606   $aDifferential equations
606   $aMathematical physics
615  0$aDifferential equations.
615  0$aMathematical physics.
676   $a530.15/535
700   $aFreiling$b G$01867237
701   $aYurko$b V. A$01594189
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910972704903321
996   $aLectures on the differential equations of mathematical physics$94474720
997   $aUNINA