Tikhonov A.N., Samarskii A.A. Equations of Mathematical Physics

Pergamon Press Ltd., USA, 1963. — 781 p. — ISBN: 0486664228.Errors and inaccuracies noticed in the first edition have been removed in the second edition. Certain sections have been subjected to minor revision. The most important changes have been made in the introductory portion of the section on special functions and in Chapter IV. A new appendix to Chapter VI, devoted to the method of finite differences for the equation of heat conduction, has been written.Classification of Partial Differential Equations
Equations of the Hyperbolic Type
Equations of the Parabolic Type
Equations of Elliptic Type
Wave Propagation in Space
Heat Conduction in Space
Equations of Elliptic Type (Continuation)