Book "Kolmogorsk school - fifty. Collection of articles 1" edited by Vavilov V. In. is a unique publication dedicated to the half-century anniversary of one of the most significant mathematical schools in Russia. This work is a collection of articles written by outstanding scientists who were either students or followers of the great mathematician Andrei Nikolaevich Kolmogorov. The book contains both theoretical research and practical applications that reflect the versatility and depth of the Kolmogorov school. From the first pages, the reader plunges into the world of high mathematical ideas and concepts, which have become the basis for many modern trends in science. The articles cover a wide range of topics, from probability theory and statistics to functional analysis and mathematical logic. Each author makes his own unique contribution, focusing on those aspects that were especially important for the development of the Kolmogorov school. This creates not only scientific value, but also a historical perspective, allowing the reader to see how ideas and approaches have evolved over five decades. The book will be of interest not only to professional mathematicians and researchers, but also to students, graduate students, as well as anyone who is interested in mathematics and its applications in other sciences. If you are passionate about mathematics, statistics or just want to learn more about how these disciplines have developed in Russia, then this publication will be a real find for you. It is suitable for both in-depth study and general acquaintance with the main achievements of the Kolmogorov school .. The topics raised in the collection relate not only to purely mathematical issues, but also to the philosophical aspects of science. The authors discuss how mathematical ideas affect our understanding of the world and how they can be applied in a variety of fields, from physics to economics. This makes the book relevant not only to a narrow audience, but also to anyone interested in how science shapes our perception of reality. The style of Vavilov and his colleagues is clear and accessible, which allows even complex concepts to be explained in simple and understandable language. This makes the book attractive to a wide audience, including those who are just starting out in mathematics. Vavilov, as one of the leading scientists in the field of probability theory, is already known for his work, and in this collection he demonstrates his ability to combine different points of view and approaches, which makes the material even more valuable. If you were looking for books on mathematics, probability theory or statistics, then "Kolmogorsk school - fifty. The collection of articles 1" will be for you not only a useful source of knowledge, but also an inspiration for further research. This edition is not just a collection of articles, but a real encyclopedia of ideas that have formed and continue to form modern mathematics. Thus, "Kolmogorsk school - fifty. The collection of articles 1" is an important contribution to the scientific community, which not only summarizes the results of the Kolmogorov school, but also opens up new horizons for future research. Read this book, and you will have the opportunity to touch the great tradition of Russian mathematics and understand how it affects our time and future.