In this article, mathematics is dealt with as a science necessary for the design, development and implementation of certain military-technical achievements such as many electronic devices, smart missiles, miniature antennas, camouflage military clothing and other military equipment. Some areas of applied, discrete and continuous mathematics are underlined in particular. Application of mathematics The importance of mathematics for military-technical achievements is reflected in the fact that mathematics allowed the existence and development of military disciplines such as: fortifications, military statistics, military economics, cryptography, military psychology, air force, military-technical and military information science. There are also many applications using mathematical models and linear programming. Mathematics is thus necessary and indispensable as a tool, a way of expression and communication, as well as the basic creation of further progress. This article reveals the connection of mathematics and certain military areas that are important for the development of the armed forces and war materiel. The application of mathematics in military- technical achievements is entailed in the connection of mathematics with military disciplines. Information technology - Basic concepts Some identified problems occurring in military purposes are mentioned through some basic concepts and benefits related to information technology. Comparative description and listing of characteristic traits resulting in the noticed and given advantages and disadvantages highlighted the creation of information technologies, first by using conventional programs and programming and then by using artificial intelligence and expert systems.