The proposed book "Real Analysis in Tasks" consists of more than 900 tasks and is compiled in a new way compared to traditional manuals of this type. In each chapter, after listing the main definitions, the properties of the concepts under consideration are described by solving a system of consecutive problems, and thus the theory that makes up the course "Real Analysis" is presented, as well as other problems that deepen this theory. Many tasks are simple, but there are also quite complex ones, the solution of which requires serious thought.