The book "Integral geometry and related issues of representation theory" by the authors and . M. Gelfanda, M. and . Graeva and N. I. Vilenkina is a unique work that opens the door for the reader to the world of complex and fascinating mathematics, where integral geometry intersects with representation theory. This publication will be a real find for students, graduate students and researchers interested in modern mathematical concepts and their applications. In the pages of this book, the authors offer the reader a deep dive into integral geometry, a branch of mathematics that studies geometric properties and structures using integration methods. However, do not think that this is just a textbook on mathematics .. It also addresses important aspects of representational theory, making it particularly valuable for those seeking to understand how different mathematical disciplines can interact and complement each other. The book begins with the basics of integral geometry, gradually deepening into more complex concepts. The authors use intuitive examples and illustrations to make the material available to a wide audience. The reader will be able to see how integral geometry is applied in various fields, including physics, statistics, and even computer science. This makes the book relevant not only for mathematicians, but also for specialists from related fields, which expands the circle of potential readers. Who can like this edition? First of all, it will be interesting for senior students of mathematical faculties, graduate students and young scientists who want to deepen their knowledge in the field of representation theory and integral geometry . However, more experienced researchers will find in the book many new ideas and approaches that can inspire further research. In addition, the book can be useful to teachers who want to enrich their courses with new materials and examples. The topics raised in the book cover a wide range of issues, ranging from the basics of integral geometry to more complex aspects of representation theory. The authors raise important questions about the relationship between different mathematical concepts, which makes their work particularly valuable in the context of modern scientific research. The book also contains many exercises and tasks that will help the reader to consolidate the knowledge gained and develop analytical thinking. The style of the authors is distinguished by clarity and logical presentation, which makes even the most complex topics accessible to understanding. and . M. Gelfand, M. and . Graev and N. I. Vilenkin is not only recognized experts in their fields, but also the authors of many other well-known works, such as “Methods of functional analysis” and “Theory of representations”. Their experience and deep understanding of the subject make it possible to create a work that will be relevant for many years. If you are looking for a book that will not only expand your mathematical horizons, but also inspire new research, “Integral Geometry and Related Representation Theory Issues” will be an excellent choice. This edition will not only deepen your knowledge of mathematics, but also help you to see how different disciplines can intersect and enrich each other. Do not miss the opportunity to touch the world of integral geometry and representation theory - the book is waiting for you!