The present book contains over 1420 software etudes not only which are illustrating effective methods of programming in Mathematica and many subtleties and undocumented opportunities of its software, but also being of undoubted interest as the tools expanding and supplementing the system tools. In a certain historical context etudes have appeared as a result of development of the lot of large projects in Mathematica connected with the solution of various problems. In the course of programming of these projects the certain software fragments presenting mass character have been formed later on in the kind of separate tools that have made the basis of the package attached to the present book. The book is oriented on a wide enough circle of the users of computer mathematics systems, researchers, teachers and students of universities for courses of computer science, physics, mathematics, and a lot of other natural disciplines.