The book "Integrates and derivatives of fractional order and some of their applications" by Samko C. G. and its co-authors is a unique publication that immerses the reader in the world of fractional calculus - the field of mathematics, which opens new horizons in the analysis and application of mathematical models. This edition will be a real discovery for students, graduate students, teachers, as well as for anyone interested in modern mathematical methods and their practical applications. The book discusses in detail the basic concepts of fractional calculus, including integrals and derivatives of fractional order. These mathematical tools allow us to more accurately describe complex processes that do not lend themselves to traditional calculus. For example, fractional derivatives find their application in fields such as physics, biology, economics, and engineering, making the book particularly relevant to professionals and researchers working at the intersection of different disciplines.[citation needed] One of the key topics raised in the book is the possibility of using fractional calculus to model dynamical systems. The authors show how fractional derivatives can be used to describe processes that are characterized by memory and nonlinearity, which greatly expands the possibilities of mathematical modeling. Readers will be able to learn about practical examples of the application of fractional calculus in various fields, such as heat transfer, mechanics, biomedical engineering and many others. The book is written in accessible language, which makes it understandable even for those who are just beginning to get acquainted with fractional calculus. The authors seek to explain complex concepts with simple and illustrative examples, which allows readers not only to assimilate the material, but also to be interested in further study of the topic. The style of presentation combines the rigor of the scientific approach and fascination, which makes reading not only useful, but also pleasant. For undergraduate and graduate students studying mathematics, physics or engineering, this book will be an indispensable aid. It will not only deepen knowledge in the field of fractional calculus, but also help to develop the analytical thinking necessary to solve complex problems. Teachers will find in it valuable materials for the preparation of lectures and seminars, and practitioners will be able to use the acquired knowledge to solve specific problems in their professional activities. The book "Integrals and Fractional Derivatives and Some of Their Applications" stands out from other publications due to its depth and versatility. Authors, among which stands out Female C. G. are recognized experts in mathematics and have a wealth of experience in research. Their previous work is also devoted to various aspects of mathematical analysis and its applications, which confirms the high level of expertise and reliability of the material presented. If you are looking for literature that will help you understand complex mathematical concepts and their practical application, this book will be an excellent choice. It is suitable for both students and professionals seeking to expand their knowledge and skills in fractional calculus. Do not miss the opportunity to immerse yourself in the fascinating world of mathematics and discover new horizons with the help of “Integrals and fractional order derivatives and some of their applications”.