In the book the description and basics of operations in the environment of the known mathematical package Maple 6 and also the applications of the package to solution of the mathematical, statistical and engineering-physical problems are given. The basic facilities of the package on the basis of innovations of last sixth release with respect to previous, main moments and features of their application at solving of problems of mathematical character are considered. The facilities of the package are considered on the basis of the comparative analysis of 5-th and 6-th releases, covering the applied problematics of the package practically in a whole. The applied aspects of the package are considered on the basis of solution in its environment of the wide class of the engineering-physical problems from such fields as: classical mechanics, hydrodynamics, hydromechanics, heating engineering, etc., and also of problems of calculus, linear algebra and statistics. The book is destined for a wide circle of the experts from mentioned and adjacent with them areas, which use in their own professional activity IBM-compatible PCs for solving of different problems of mathematical and applied character, and also for students and post-graduates on courses "Basics of computer science and computer engineering" and courses of appropriate disciplines. First of all, the book will present interest for the scientific and technical workers, concerned with solution of a various kind of the problems.