Analytical Geometry. Lecture course. Textbook for Vocational Education.

The manual is based on the materials of lectures given by the author at the Faculty of Mathematics at the A.I. Herzen Pedagogical University, and includes the main sections of analytical geometry related to coordinate systems on a line, in a plane, and in space, vector products, analytical representation of lines and planes, curves and second-order surfaces. Barycentric coordinates are introduced, and examples of their application in problem-solving are provided. It complies with the modern requirements of the Federal State Educational Standard for Higher Professional Education and the professional qualification requirements. The manual is intended for college students and high school students with advanced study of mathematics.