The theory of spline functions in Hilbert spaces and its application to some problems of mathematical physics by E. In. Shafranova is a deep and comprehensive study that combines the theoretical foundations and practical applications of one of the most important areas of modern mathematics and physics. This book is intended for those who seek to understand the complex mathematical constructs associated with spline functions and their role in solving pressing problems arising in various fields of science and technology. The author focuses on the theory of spline functions, which has long established itself as a powerful tool for approximation, interpolation and solution of differential equations. Saffron masterfully reveals the features of building spline functions in Hilbert spaces, demonstrating how these structures can be used to model physical processes, optimize and analyze data. A special place is occupied by the analysis of the properties of spline functions, their stability and efficiency in solving complex mathematical problems, which makes the book indispensable for specialists in the field of numerical methods, mathematical modeling and theoretical physics. The book "The theory of spline functions in Hilbert spaces and its application to some problems of mathematical physics" will be of interest to a wide range of readers. It is suitable for students and graduate students studying mathematical analysis, numerical methods and mathematical physics, as well as professionals working in the field of modeling of physical processes, engineering sciences and applied mathematics. For those who are looking for a deep theoretical foundation and practical recommendations on the use of spline functions in complex tasks, this book will be a valuable source of knowledge. Characteristics of E. In. Shafranova is a combination of rigorous academic accuracy with clarity of presentation, making even the most complex topics accessible to understanding. The author not only reveals the theoretical foundations, but also shows how this knowledge is used in real problems related to mathematical physics, for example, in modeling heat transfer processes, mechanics and electromagnetic phenomena. His other well-known works on numerical methods and functional analysis confirm his reputation as one of the leading specialists in the field of mathematical physics and applied mathematics. This book deservedly occupies an important place in the library of everyone who is interested in modern methods of mathematical modeling and their application in physics. It reveals to the reader the wealth of opportunities that open when using spline functions in Hilbert spaces, and shows how these tools help to solve problems that previously seemed unbearable. As a result, “The theory of spline functions in Hilbert spaces and its application to some problems of mathematical physics” is not only a textbook or monograph, but also a guide to modern achievements of mathematics and their practical use. If you are looking for a book that combines theory, practice and innovative approaches, and want to expand your knowledge in the field of mathematical physics, then this work is E. In. Shafranova will be an indispensable source of inspiration and professional growth for you. Its content will not only expand the horizons of your understanding, but also open up new perspectives for research and development of own methods for solving complex scientific problems.