Frontmatter -- Contents -- Preface -- 1. Introduction to approximation theory -- 2. A simple approach to Fredholm integral equations of the second kind and application of linear methods for approximating their solutions -- 3. Iteration method for approximately solving differential and integral equations -- 4. Approximation method for solving ordinary linear differential equations -- 5. Approximation of solutions of partial differential equations -- 6. Theory of transcendental functions and their approximation -- 7. Application of the ?-method to the rational approximation and integral representation of functions -- Bibliography