The book "Quantum-field renormal group in the theory of critical behavior and stochastic dynamics" by Vasilyev A. N. It is a fascinating and in-depth study that immerses the reader in a world of complex physical concepts and mathematical models. This work will be a real find for students, graduate students and researchers interested in theoretical physics, statistical mechanics and mathematical physics. Vasiliev, known for his work in quantum field theory and renormal group analysis, offers readers a unique perspective on the critical behavior of systems under stochastic dynamics. The book discusses the basic principles of the renormal group approach, which allows you to explore phase transitions and critical phenomena arising in complex systems. The author not only explains the theoretical foundations, but also offers practical examples, which makes the material accessible to understanding even for those who are just starting their way in this field. The book will be especially interesting for those who are fond of physics, mathematics and related sciences. Students and graduate students studying the theory of critical phenomena will find in it useful ideas and approaches that will help in their scientific activities. Researchers working in the field of statistical mechanics and field theory will be able to use the proposed methods to analyze their own models and experiments. The topics raised in the book cover a wide range of issues related to critical system behavior, including phase transitions, universality, and stochastic dynamics. Vasilyev emphasizes the importance of the renormal group approach as a tool for understanding complex phenomena in physics, which makes the book relevant and valuable for the scientific community. It also explores modern methods and techniques that allow the study of system dynamics at different scales, which opens up new horizons for further research. The author's style is clear and logical, which allows the reader to easily follow his thoughts and ideas. Vasilyev skillfully combines theory with practical examples, which makes the material not only informative, but also fascinating. His previous works, such as Quantum Field Theory and Statistical Mechanics, have already gained recognition among specialists, and the new book continues this tradition by offering a fresh look at familiar problems. If you’re looking for a book that will help you better understand critical behavior and stochastic dynamics, then the Quantum Field Renormalization Group in Critical Behavior Theory and Stochastic Dynamics would be a great choice. This work will not only expand your knowledge, but also inspire new scientific discoveries. Read, explore and discover the amazing world of physics with Vasilyev A. N. !