The book “Challenges in Functional Analysis” by Vlasov, Konovalov and Kurochkin is a unique educational material that will become an indispensable assistant for students, graduate students and anyone interested in mathematics at a deeper level. Functional analysis is an important area of mathematics that studies the spaces of functions and their properties, and this book offers readers the opportunity to immerse themselves in its fascinating world through practical problems and examples. From the first pages, the authors set a tone that combines the rigor of the mathematical approach and the accessibility of the presentation. The book covers a wide range of topics, ranging from basic concepts of functional analysis to more complex concepts such as operator spaces and spectral theory. Each section includes carefully selected tasks that help to consolidate theoretical knowledge and develop skills in solving practical problems. Who can like this book? First of all, it is aimed at students of mathematical and physical-mathematical faculties, as well as postgraduate students who are preparing to defend their dissertations . However, you should not limit yourself to this audience .. If you are a teacher looking for quality materials for your students, or just a math enthusiast looking to deepen your knowledge, “Functional Analysis Tasks” will be an excellent choice. The book will be of interest to those who are fond of mathematics, physics, economics and engineering, as functional analysis finds application in various fields of science and technology. One of the key topics raised in the book is the connection between theory and practice. The authors not only offer solutions to problems, but also explain how these problems can be applied in real situations, which makes the material particularly valuable. Readers will be able to see how abstract mathematical concepts are reflected in various applied problems, which contributes to a deeper understanding of the subject. The style of the authors is clear and logical, which makes reading not only useful, but also fascinating. Vlasov, Konovalov and Kurochkin are experienced teachers and researchers who know how to convey complex ideas to the reader. Their previous work has also gained recognition in academia, and this book continues the tradition of high-quality mathematical education. If you are looking for additional materials on functional analysis, pay attention to books such as "Functional Analysis" G. F. Dale or "Introduction to Functional Analysis" B. N. Dubrovina . These works will also help you deepen your knowledge and broaden your horizons in this fascinating area of mathematics. In conclusion, "Functional Analysis Tasks" is not just a collection of tasks, but a whole world in which the reader can immerse himself by exploring the depths of functional analysis. This book will be your reliable companion in the study and development of complex mathematical concepts, as well as open up new horizons in the understanding of mathematical science. Do not miss the opportunity to expand your knowledge and skills with this wonderful tutorial!