The Poincaré-Steklov Operators and Their Applications in Analysis, written by prominent B. scientists and . Lebedev and V. and . Agoshkov is a unique study that immerses the reader in the world of mathematical analysis, focusing on specific operators known as Poincaré-Steklov operators. This work not only expands the boundaries of existing knowledge in the field of analysis, but also opens new horizons for the application of these operators in various scientific and practical tasks. The book discusses in detail the properties of Poincaré-Steklov operators, their mathematical nature and functional characteristics. The authors focus on how these operators can be used to solve complex problems in mathematics and physics, as well as in other fields of science. The reader will be able to learn about how these tools help in the study of boundary problems, as well as in the theory of differential equations. An important part of the book is to discuss practical applications, which makes it particularly valuable for researchers and students seeking to put theoretical knowledge into practice. The book will be of interest to both professional mathematicians and senior students studying mathematical analysis, functional analysis and related disciplines. It can also attract the attention of specialists in physics, engineering and other sciences, where a deep understanding of mathematical methods is required. If you are looking for literature that will help you deepen your knowledge in the field of analysis and expand the horizons of applying mathematical concepts, then this work will be a real find for you. The topics raised in the book cover a wide range of issues, such as the interaction between mathematical theorems and their practical applications, as well as the importance of understanding the structure of operators to solve real-world problems. The authors not only present theoretical aspects, but also share examples that illustrate how Poincare-Steklov operators can be used to solve specific problems. This makes the book not only a tutorial, but also a practical guide for researchers. The writing style of Lebedev and Agoshkov is clear and accessible, which allows the reader to easily assimilate complex concepts. The authors use many illustrations and examples, which makes the material more clear and understandable. Their previous works also deserve attention: for example, “Functional spaces and their applications” and “Differential equations in partial derivatives”, which have already managed to establish themselves in the scientific community. The Poincaré-Steklov Operators and Their Applications in Analysis is not just a collection of theoretical calculations, but a real find for those who seek to understand the deep connections between mathematics and the real world. It inspires further research and opens up new possibilities for the application of mathematical knowledge. If you want to immerse yourself in the fascinating world of operator analysis and discover new approaches to solving problems, this book will become your reliable companion on this journey.