The book is a textbook that meets modern requirements for teaching higher mathematics. The theoretical material is accompanied by numerous examples and methods for solving applied problems. Mathematical concepts are presented and explained from the perspective of their practical applications. Special emphasis is placed on the importance of mathematical methods for modeling and analyzing problems in science, technology, and various fields of economic activity.

The book covers the following areas of higher mathematics: linear algebra, analytic geometry, mathematical analysis, harmonic analysis, function approximation, differential equations, mathematical modeling, elements of probability theory, and mathematical statistics. Each chapter concludes with exercises and problems for independent study, most of which are supplied with answers.

This textbook is intended for undergraduate and graduate students, as well as postgraduate researchers in natural sciences and economics. It will also be useful for high school students specializing in science-oriented tracks.