"Fundamentals of Variational Calculus and Optimal Control" edited by B. M. Osipova is a deep and fascinating study that immerses the reader in the world of mathematical analysis and optimization theory. This work will become an indispensable assistant for students, graduate students and specialists in mathematics, physics, economics and engineering, seeking to understand the complex concepts of calculus and its application in various fields of science and technology. The book discusses the basic principles of variational calculus, a branch of mathematics that studies extremities of functionals. The authors explain in detail how with the help of variational methods it is possible to find optimal solutions to problems, which makes the material available even for those who are just beginning to get acquainted with this topic. An important aspect of the book is that it not only expounds the theory, but also offers practical examples, which allows the reader to better assimilate the material and see its application in real life. This book will be interesting not only for students and graduate students, but also for practitioners working in the field of optimal management and mathematical modeling. If you are passionate about mathematics, physics or engineering, and want to deepen your knowledge in the field of variational calculus, then this publication will be a real find for you. It will help you not only to understand the theoretical aspects, but also to learn how to apply the knowledge gained in practice. The topics raised in the book cover a wide range of issues related to optimization and management. The authors discuss not only classical problems, but also modern approaches, which makes the book relevant and useful for those who want to be aware of the latest achievements in this field. Variational calculus is used in a variety of fields: from economics and ecology to robotics and biomechanics. This makes the book a universal reference for anyone interested in optimizing processes and systems. The style in which the book is written is clear and logical. The authors aim to make complex mathematical concepts understandable, which allows the reader to easily follow the course of thought and assimilate the material. This is especially important for those who may encounter difficulties in studying the theoretical aspects of variational calculus.. The book is replete with illustrations and examples, which makes the study of the material more fascinating and visual. In. M. Osipov is an author known for his work in mathematics and mechanics, and his name has already become synonymous with quality and depth in scientific publications. His other works are also noteworthy, and if you are interested in optimization and mathematical modeling topics, you will find much useful in his bibliography. In conclusion, “Fundamentals of Variational Calculus and Optimal Control” is not just a textbook, but a real find for anyone who wants to immerse themselves in the world of mathematical analysis and optimization. This book will be your reliable companion in the study of complex topics and will help you to open new horizons in your professional activities. Do not miss the opportunity to get acquainted with this outstanding work, which will certainly take a worthy place on the shelf of everyone who seeks knowledge in the field of science and technology.