The book is devoted to the systematic presentation of the foundations of algebraic geometry. Gives a general idea of ​ ​ this area and the basis for reading more specialized literature. The presentation is illustrated by a large number of examples and applications. The presentation is illustrated by a large number of examples and applications. The book involves knowledge of linear algebra, the foundations of the theory of differential forms, the theory of analytic functions and acquaintance with the basic concepts of algebra and topology.