The Geometric Decomposition of Singularly Perturbed Systems, written by N. In. and .. [ A. Sobolev, is a unique study in the field of mathematical theory and its application to complex systems. This edition will be especially interesting for those who are fond of mathematics, physics and engineering sciences, as well as students and graduate students engaged in the study of dynamical systems and their features. The authors offer readers a deep dive into the world of singularly perturbed systems, which are mathematical models where small changes in parameters can lead to significant changes in the behavior of the system. This phenomenon is found in various fields, from mechanics to biology, and understanding its foundations is key to solving many practical problems. The book reveals geometric decomposition techniques that allow for the analysis and simplification of such systems, making them more manageable and predictable. Voropaev and Sobolev’s writing style is clear and accessible, which makes complex concepts more understandable for a wide audience. The authors use many examples and illustrations to demonstrate the application of theoretical results in practice. This allows the reader not only to assimilate the material, but also to see its real application in various scientific and engineering tasks. The book will be useful not only for professional mathematicians and physicists, but also for senior students, graduate students, as well as practicing engineers working in the field of automation, robotics and other high technologies. It can be an excellent addition to training courses in mathematical methods in engineering and physics, as well as serve as a basis for scientific research. The topics raised in the book cover a wide range of issues, from sustainability theory and oscillatory processes to numerical modeling and optimization techniques. The authors emphasize the importance of understanding the dynamics of singularly perturbed systems for the development of effective algorithms and technologies, which makes the book relevant in the context of rapid technological progress. If you are looking for literature that will help you deepen your knowledge in mathematical modeling and analysis of complex systems, "Geometric decomposition of singularly perturbed systems" will be an excellent choice. This book will not only expand your horizons, but also equip you with the tools you need to solve pressing problems in your professional activities. Voropaev and Sobolev are authors known for their work in the field of theoretical and applied mathematics, and their previous publications have also received recognition in the scientific community. Their experience and in-depth knowledge in the field of singular perturbations make this book a valuable contribution to existing literature. Do not miss the opportunity to get acquainted with this fascinating and informative book, which promises to become a reference for all who seek new knowledge and discoveries in the world of science.