The manual outlines some approaches to the use of modern mathematical tools in the management of modern logistics systems. In addition to the theoretical basis, it outlines the basics and examples of the use of the system approach and the mathematical apparatus in various applications, each topic is illustrated by examples. Detailed solutions of the considered examples and problems are presented with the help of one of the modern systems of computer mathematics - a package of applied programs Mathcad, which make the analysis of different management approaches more efficient and allow the student's attention to be focused on the logic of methods and algorithms, freeing from the need to master cumbersome computational procedures. The publication is also equipped with tasks for independent work in the discipline "Mathematical means of solving problems of managing logistics systems" .. Prepared taking into account the requirements of the Federal State Educational Standard of Higher Education . The training manual is intended for students studying in the areas of bachelor's and master's degree 38. 03. 02, 38. 04. 02 "Management", within the framework of the implementation of the profile "Management of logistics systems" . Can be useful for students and postgraduates of other economic fields and specialists working in the field of management.