Partial Differential Equations of Mathematical Physics

Content: 
ADIWES INTERNATIONAL SERIES IN MATHEMATICS, Page ii
Front Matter, Page iii
Copyright, Page iv
TRANSLATION EDITOR'S PREFACE, Page ix
AUTHOR'S PREFACE TO THE FIRST EDITION, Page x
AUTHOR'S PREFACE TO THE THIRD EDITION, Page x
LECTURE 1 - DERIVATION OF THE FUNDAMENTAL EQUATIONS, Pages 1-21
LECTURE 2 - THE FORMULATION OF PROBLEMS OF MATHEMATICAL PHYSICS. HADAMARD'S EXAMPLE, Pages 22-32
LECTURE 3 - THE CLASSIFICATION OF LINEAR EQUATIONS OF THE SECOND ORDER, Pages 33-45
LECTURE 4 - THE EQUATION FOR A VIBRATING STRING AND ITS SOLUTION BY D'ALEMBERT'S METHOD, Pages 46-57
LECTURE 5 - RIEMANN'S METHOD, Pages 58-71
LECTURE 6 - MULTIPLE INTEGRALS: LEBESGUE INTEGRATION, Pages 72-125
LECTURE 7 - INTEGRALS DEPENDENT ON A PARAMETER, Pages 126-132
LECTURE 8 - THE EQUATION OF HEAT CONDUCTION, Pages 133-145
LECTURE 9 - LAPLACE'S EQUATION AND POISSON'S EQUATION, Pages 146-154
LECTURE 10 - SOME GENERAL CONSEQUENCES OF GREEN'S FORMULA, Pages 155-165
LECTURE 11 - POISSON'S EQUATION IN AN UNBOUNDED MEDIUM. NEWTONIAN POTENTIAL, Pages 166-170
LECTURE 12 - THE SOLUTION OF THE DIRICHLET PROBLEM FOR A SPHERE, Pages 171-179
LECTURE 13 - THE DIRICHLET PROBLEM AND THE NEUMANN PROBLEM FOR A HALF-SPACE, Pages 180-187
LECTURE 14 - THE WAVE EQUATION AND THE RETARDED POTENTIAL, Pages 188-201
LECTURE 15 - PROPERTIES OF THE POTENTIALS OF SINGLE AND DOUBLE LAYERS, Pages 202-221
LECTURE 16 - REDUCTION OF THE DIRICHLET PROBLEM AND THE NEUMANN PROBLEM TO INTEGRAL EQUATIONS, Pages 222-227
LECTURE 17 - LAPLACE'S EQUATION AND POISSON'S EQUATION IN A PLANE, Pages 228-236
LECTURE 18 - THE THEORY OF INTEGRAL EQUATIONS, Pages 237-257
LECTURE 19 - APPLICATION OF THE THEORY OF FREDHOLM EQUATIONS TO THE SOLUTION OF THE DIRICHLET AND NEUMANN PROBLEMS, Pages 258-264
LECTURE 20 - GREEN'S FUNCTION, Pages 265-290
LECTURE 21 - GREEN'S FUNCTION FOR THE LAPLACE OPERATOR, Pages 291-300
LECTURE 22 - CORRECTNESS OF FORMULATION OF THE BOUNDARY-VALUE PROBLEMS OF MATHEMATICAL PHYSICS, Pages 301-326
LECTURE 23 - FOURIER'S METHOD, Pages 327-341
LECTURE 24 - INTEGRAL EQUATIONS WITH REAL, SYMMETRIC KERNELS, Pages 342-356
LECTURE 25 - THE BILINEAR FORMULA AND THE HILBERT–SCHMIDT THEOREM, Pages 357-375
LECTURE 26 - THE INHOMOGENEOUS INTEGRAL EQUATION WITH A SYMMETRIC KERNEL, Pages 376-381
LECTURE 27 - VIBRATIONS OF A RECTANGULAR PARALLELEPIPED, Pages 382-387
LECTURE 28 - LAPLACE'S EQUATION IN CURVILINEAR COORDINATES. EXAMPLES OF THE USE OF FOURIER'S METHOD, Pages 388-400
LECTURE 29 - HARMONIC POLYNOMIALS AND SPHERICAL FUNCTIONS, Pages 401-413
LECTURE 30 - SOME ELEMENTARY PROPERTIES OF SPHERICAL FUNCTIONS, Pages 414-420
INDEX, Pages 421-427