The equations of mathematical physics. (Уравнения математического физики) (Gleichungen der mathematischen Physik.) (Russian) Zbl 0044.09302

Tikhonov, A. N.; Samarskiĭ, A. A.

Moskau-Leningrad: Gosudarstv. Izdat. Tekhn.-Teor. Lit. 659 p. (1951).

Mathematical textbook for physicists, dealing with the partial differential equations of physics and containing many applications to elasticity, gas dynamics, hydrodynamics, electrodynamics etc.
The chapters: Classification of partial differential equations – Hyperbolic equations – Parabolic equations – Elliptic equations – Propagation of waves – Propagation of heat – Elliptic equations (continued) – Appendix: Special functions.

Reviewer: Lars Gårding (Lund)

MSC:

35-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations
00A06	Mathematics for nonmathematicians (engineering, social sciences, etc.)
35Jxx	Elliptic equations and elliptic systems
35Kxx	Parabolic equations and parabolic systems
35Lxx	Hyperbolic equations and hyperbolic systems
35Qxx	Partial differential equations of mathematical physics and other areas of application

Keywords:

partial differential equations; mathematical textbook for physicists; applications; elasticity; gas dynamics; hydrodynamics; electrodynamics