The book is a reference monograph and a user's guide to the latest system of symbolic (analytical) mathematics - Maple 8. This system is a recognized world leader in the field of symbolic (analytical) calculations. It has been certified in this area. to the maximum extent possible. Briefly described the interface of the system and in detail - its extensive capabilities in mathematics, physics and education Particular attention is paid to the technique of practical calculations and visualization of their results . Detailed and a large number of practical examples, including those not previously published, describe the means of symbolic and numerical calculations, the graphic and software capabilities of the system, its expansion packages. For all scientific and technical workers, students and teachers of universities and universities .