The book “Continuous Groups” by Lev Pontryagin is an outstanding work in the field of mathematics, which opens up to readers the exciting world of topology and algebra. Pontryagin, one of the most famous Soviet mathematicians, focuses on continuous groups that play a key role in various fields of science, including physics, relativity, and quantum mechanics. This book will be a real discovery for those who are interested in mathematics and its applications, as well as for students, graduate students and teachers seeking to deepen their knowledge in this area. "Continuous Groups" is not just a textbook, but an in-depth study that combines theory and practice. Pontryagin masterfully explains complex concepts, making them available to a wide audience. It introduces the reader to the world of continuous groups, revealing their properties and structure, and demonstrating how these groups can be used to solve various problems. The book is full of examples and tasks that will help readers not only understand the theory, but also apply it in practice. This work will be especially interesting for those who are fond of mathematics, physics and engineering. Students and graduate students of mathematical and physical faculties will find in it useful materials for preparing for exams and scientific research . Teachers will be able to use it as an additional resource for their courses, and professionals in science and technology will appreciate it as a source of inspiration and new ideas. The topics raised in the "Continuous Groups" cover a wide range of issues, including symmetry, transformation groups, and their application in various fields of science. Pontryagin raises important philosophical questions about the nature of mathematical structures and their relationship to the real world. It shows how continuous groups can serve as a tool for understanding complex systems and phenomena, making this book particularly relevant in light of current scientific research. Pontryagin's style is clear and logical, which allows the reader to easily follow his thoughts. It uses many examples and illustrations to make the material more visual and understandable. In addition, the author is not afraid to introduce the reader to complex concepts, gradually increasing the level of complexity and deepening the understanding of the topic. This makes "Continuous Groups" not only a tutorial, but also a fascinating reading for anyone who wants to expand their horizons in mathematics. In addition to "Continuous Groups", Pontryagin is known for his other works, such as "Topology" and "General Theory of Relativity", which also deserve attention. These works, like "Continuous Groups", are distinguished by a high level of scientific rigor and originality, which makes them an important contribution to the development of mathematics and its applications. If you’re looking for a book that will help you better understand mathematics and its relationship to other sciences, “Continuous Groups” will be an excellent choice. This work will not only enrich your knowledge, but also inspire new discoveries and research. Do not miss the opportunity to get acquainted with one of the masterpieces of mathematical literature, which continues to remain relevant and in demand among scientists and students around the world.