The book "Method of separation of variables in the problems of normal and compact solvability of the operator of external differentiation" by the authors Kuzminov V. and . Shvedova I . A. is a deep and fascinating study in the field of mathematical analysis and functional analysis. This work will be a real find for students, graduate students and specialists working in the field of mathematical sciences, as well as for anyone interested in modern methods of solving complex mathematical problems. In this book, the authors offer the reader a unique approach to the study of operators of external differentiation, which is of great importance in the theory of differential equations and mathematical physics. The method of separating variables, considered in the context of normal and compact solvability, allows not only to delve into theoretical aspects, but also to apply the knowledge gained in practice. Kuzminov and Shvedov masterfully explain complex concepts, making them understandable even to those who are not professional mathematicians. Readers who are fond of mathematics, physics or engineering will find in this book many useful ideas and methods that will help them in solving real problems. It will be especially useful for those who are engaged in theoretical research or work in the field of applied mathematics. The book will also attract the attention of teachers and students studying courses on functional analysis and operator theory. The topics raised in the book cover a wide range of issues related to the solvability of operators and their application in various fields of science. The authors pay special attention to methods that allow them to effectively solve problems related to differentiation and integration, which makes their work relevant and in demand. The book not only reveals theoretical aspects, but also offers practical examples, which allows readers to better absorb the material and apply it in their activities. The style of the authors is distinguished by clarity and logical presentation, which makes reading fascinating and informative. Kuzminov V. and . Swede and . A. are known for their work in functional analysis, and their previous publications have already gained recognition among specialists In this book, they continue to develop their ideas, offering readers a fresh perspective on classical problems. If you are looking for literature that will help you deepen your knowledge in the field of mathematical analysis and operator theory, then the "Method of separating variables in problems about the normal and compact solvability of the operator of external differentiation" will be an excellent choice. This book will not only enrich your intellectual baggage, but also inspire new research and discoveries in the world of mathematics. Do not miss the opportunity to get acquainted with the work that can change your view on solving complex problems . The book of Kuzminov and Shvedov is not just a textbook, but a real find for everyone who seeks a deep understanding of mathematical concepts and their practical application.