Abstract (English):
The manual contains a brief statement of the course of mathematical analysis. In contrast to existing academic literature textbook starts with a Chapter on "Basic mathematics" that covers arithmetic and algebra, i.e. the essential information needed when solving problems of higher mathematics. Along with theoretical material all the sections are accompanied by a number of examples, including illustrating the geometric and economic meanings of the introduced concepts, methods and algorithms for solving mathematical, engineering and economic challenges. Given tasks for independent solving with answers. Meets the requirements of Federal state educational standards of higher education of the last generation. For students of higher educational institutions studying the discipline "Mathematical analysis" and "Higher mathematics" and receive education on the directions of science, engineering and technology, Informatics and Economics (bachelor and master). Can be used by individuals engaged in self-education.