The basic information on methods of solving problems of mathematical physics, which have become classical and generally accepted (methods of potential theory, method of own functions, methods of integral transformations, methods of sampling, methods of splitting) is presented. A separate chapter is devoted to methods of solving nonlinear equations . Numerous examples of the application of the methods under consideration to the solution of specific problems of mathematical physics are presented, which are of applied importance and are applied in such areas of science and society activities as energy, environmental protection, hydrodynamics, elasticity theory, etc. For students, graduate students, researchers, engineers specializing in computational and applied mathematics and mathematical modeling .