Organized in ascending order of complexity, the handbook is divided into two parts. The first part is a concise, coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary geometry, analytic geometry, algebra, differential calculus, integral calculus, differential geometry, functions of complex variable, integral transforms, ordinary differential equations, linear and nonlinear partial differential equations, integral equations, difference and functional equations, special functions, calculus of variations, probability theory, and more. Numerous specific examples clarify the methods for solving problems and equations. The second part provides a large number of in-depth mathematical tables, including those of exact solutions to various types of ordinary differential, partial differential, integral, and functional equations.