The book "Optimal and adaptive systems", created by a team of authors, is a unique study in the field of system analysis, management theory and optimization. This publication will be a real find for students, graduate students, researchers and practitioners working in the field of engineering, information technology and applied mathematics. From the first pages, the reader plunges into the world of complex systems, where each solution requires careful analysis and understanding. The authors raise important questions about how to optimize the operation of systems so that they can adapt to changing environmental conditions. This book is not just a theoretical guide, but a practical guide filled with examples and applications that will help the reader understand how to apply the knowledge gained in real life. The topics covered in the book cover a wide range: from the foundations of optimization theory to complex adaptive algorithms that can be used in various fields, such as economics, ecology, robotics and even medicine. The reader will be able to learn about methods that allow systems not only to achieve their goals, but also to respond effectively to changes, which is especially true in today's rapidly changing world. The book will be interesting to both specialists and those who are just beginning their journey in this field. Students of technical and economic specialties will find in it useful materials for preparing for exams and writing term papers . Researchers and practitioners will be able to use the presented methods and approaches in their projects, which will make their work more efficient and effective. The style of the authors can be described as accessible and understandable, which makes it easy to perceive even the most complex concepts. They use a lot of illustrations, graphs and examples from real practice, which makes the material more visual and fascinating. This publication can be compared with other well-known works in the field of system analysis, such as "Control Systems" B. and . Baranova or "Optimization Theory" A. N. Kostyukova, but "Optimal and adaptive systems" stands out for its practical orientation and relevance. The book also raises important philosophical and ethical issues related to the use of adaptive systems in various areas of life. What are the limits of optimization? How can technology affect society? These questions make reading not only educational, but also profound, forcing us to think about the future of technology and its impact on humanity. If you are looking for literature that will help you understand the complex aspects of optimizing and adapting systems, “Optimal and adaptive systems” will be an excellent choice. This book will not only expand your knowledge, but also inspire new ideas and projects. Do not miss the opportunity to become part of a fascinating world where science and practice are intertwined, creating new horizons for research and development.