The book "Methods of solving problems on functional analysis" under the authorship of B. In. Gorodetsky and other authors is a textbook that will become an indispensable companion for students and teachers studying disciplines related to mathematics and applied mathematics. This publication covers a wide range of topics that will help the reader to better understand the basics of functional analysis and its application in various fields of science and technology. Functional analysis is one of the key branches of mathematics that studies the properties of functionals and function spaces. The book discusses methods of solving problems that allow not only to master the theoretical aspects, but also to apply the knowledge gained in practice. The reader will find here both classical and modern approaches to solving problems, which makes the manual relevant for students, graduate students and teachers, as well as for anyone interested in mathematics at a deeper level. Who can like this edition? First of all, it will be useful for students of mathematical faculties, as well as for those who study applied mathematics, physics, engineering and other related disciplines. If you are passionate about mathematics and want to understand how theoretical concepts are applied in practice, this guide will be a real find for you. The book will also be of interest to teachers who are looking for quality educational materials for their students. The topics raised in the book cover a wide range of issues, such as linear operators, Banach and Hilbert spaces, spectral theory, and more. Each section contains not only theoretical calculations, but also many examples and tasks, which allows the reader to consolidate the knowledge gained and develop skills in solving practical problems. This makes the manual not only educational material, but also a valuable reference for further study of functional analysis. The style of the author and his team is distinguished by clarity of presentation and logical structure of the material. In. In. Gorodetsky is a well-known mathematician who has already established himself in the scientific community thanks to his research and publications. His other works, such as The Theory of Functions of Complex Variables and Linear Algebra and Analytical Geometry, have also gained recognition among students and faculty.[citation needed] In this tutorial, he continues the tradition of accessible and fascinating presentation of complex mathematical concepts, which makes his work especially valuable. The book “Methods of solving problems in functional analysis” is not just a textbook, but a whole world in which the reader plunges into, opening up new horizons of mathematical thinking. She will become a reliable assistant in preparing for exams, writing term papers and diploma papers, as well as in scientific activities. If you are looking for a quality and in-depth functional analysis guide, this edition is your perfect choice. Do not miss the opportunity to expand your knowledge and skills in functional analysis with this unique tutorial. It will not only enrich your mathematical baggage, but also inspire new research and discoveries in the world of science.