The book "Integral manifolds in nonlinear mechanics", written by O. B. by Y. and Y. A. Mitropolsky is a unique and in-depth study that immerses the reader in the world of complex mathematical models and their applications in nonlinear mechanics. This publication will be a real find for students, graduate students and researchers involved in mechanics, mathematics and related sciences. The authors, having considerable experience in the field of theoretical mechanics and mathematical physics, offer the reader not only a set of formulas and theorems, but also a holistic approach to understanding integral manifolds. The book begins with the basics of nonlinear mechanics, gradually delving into complex concepts such as variational principles and integration methods. This makes it ideal for those who want not only to master the theory, but also to put it into practice. One of the key topics addressed in the book is the relationship between mathematical models and real physical processes. The authors emphasize how integral manifolds can be used to describe complex systems, including mechanical and physical phenomena that are difficult to respond to traditional methods of analysis. This makes the book particularly valuable for engineers and scientists working in the fields of mechanics, materials science, and applied mathematics. The book also touches on contemporary approaches to nonlinear problem solving, making it relevant for researchers seeking to be at the forefront of science. Readers will be able to find in it not only theoretical justifications, but also practical examples, which greatly facilitates the understanding of complex concepts. This makes “Integral Diversity in Nonlinear Mechanics” not just a textbook, but a real reference for professionals. The style of the authors is distinguished by clarity and logical presentation, which allows even complex mathematical ideas to be perceived easily and at ease. Lykov and Mitropolsky use many illustrations and graphics, which makes the material more accessible and visual. This is especially important for readers who may not be familiar with some aspects of nonlinear mechanics. The book will be interesting not only to specialists, but also to those who are fond of mathematics and physics. It will be a useful resource for undergraduate and graduate students, as well as for teachers looking for quality materials for their classes. Readers interested in topics such as system dynamics, mathematical modeling, and theoretical mechanics will find this edition a lot of useful. “Integral manifolds in nonlinear mechanics” is not just a book, but a whole world where mathematics and physics are intertwined, creating new horizons for research and discovery. If you are looking for a deep and meaningful work that can expand your knowledge and understanding of nonlinear mechanics, this publication will become your faithful companion in the world of science. Do not miss the opportunity to immerse yourself in this fascinating topic and discover new facets of integral diversity!