The book is a guide and user guide to the latest systems of symbolic (analytical) mathematics Maple 9. 5 and Maple 10. These are recognized world leaders in the field of analytical computing, who have undergone serious certification in this field. A brief description of the systems interface and their extensive capabilities in mathematics, physics and education. Particular attention is paid to the technique of practical calculations and visualization of their results, as well as the solution of differential equations of various types. Symbolic and numerical computing tools, graphics and software capabilities of systems, expansion packages, maplets and the practice of using Maple in mathematical and physical calculations are described . The attached CD-ROM contains more than 340 files with examples of calculations. For scientific and technical workers, students and teachers of universities and universities .