The book focuses on an important aspect – procedural and functional programming supported by Mathematica. Software presented in the book contains a number of useful and effective receptions of procedural and functional programming in Mathematica that extend the system software and allow sometimes much more efficiently and easily to program the program objects for various purposes. The above software rather essentially dilates the Mathematica functionality and can be useful for programming of many problems. The MathToolBox package containing more 940 tools of various purpose with freeware license is attached to the book. The book is oriented on a wide enough circle of the users of computer mathematics systems (CMS), researchers, teachers and students of universities for courses of computer science, mathematics, physics and many other natural disciplines. The book will be of interest also to the specialists of the industry and technology that use the CMS in professional activity.