Abstract:
The use of mathematical methods in economic analysis is the most important direction for im-proving management systems. Mathematical methods speed up economic analysis, increase the accuracy of calculations and more fully take into account the impact of factors on productivity. The use of mathematical methods requires: – development of mathematical models reflecting quantita-tive indicators of system activity of the organization's employees, processes occurring in complex enterprise-type systems; – a systematic approach to the study of this object, taking into account its relationships and connections with other objects (enterprise, firm); – improvement of the enter-prise management information system with the help of IT technologies. Solving tasks of economic analysis by mathematical methods is possible only when constructing mathematical, that is, real economic relations and dependencies of expressions using mathematical analysis. This calls for the development of mathematical models. Mathematical methods play an important role in economic analysis, as they can provide accurate calculations and full accounting of the influence of factors using short-term forecasting methods and management decision-making at the enterprise. The arti-cle highlights the results of research and development in the field of analysis of economic processes and systems based on the use of economic and mathematical methods and tools. The mathematical apparatus of economic research was developed and it was proposed to integrate applied methods and solutions into efficiency improvement tools. The model approach, which arose in the ancient sciences, gradually turned into a universal method of scientific knowledge. Currently, the use of mathematical methods in the analysis of economic processes is indispensable both from the point of view of a more serious substantiation of theoretical concepts and the ability to quantitatively determine economic relations. The research presented in the article will be useful for everyone who is interested in the theory of mathematical methods of economics. Some of the presented methods and models can be used directly by practitioners in this field.
