“Elements of group theory: a textbook” is not just a textbook, but a real guide to the fascinating and multifaceted world of abstract algebra, created by a team of authors deeply immersed in mathematics and pedagogical practice. This book is intended for students, faculty, and anyone seeking to understand the fundamental principles of group theory, one of the key sections of modern mathematics underpinning many scientific and applied disciplines. The focus is on "Elements of group theory: a textbook" - the concept of a group as a mathematical structure that combines elements with a certain operation that has a number of important properties. The authors masterfully reveal complex topics, ranging from elementary definitions to more advanced concepts, such as subgroups, normal subgroups, factor-groups, and homomorphisms. But the book is not limited to a dry presentation of the theory: it is saturated with practical examples, illustrations and tasks that help to consolidate the material and develop analytical thinking. The peculiarity of this manual is its methodological approach .. The authors carefully structured the material, emphasizing the logical sequence and intelligibility of the presentation .. Each chapter is accompanied by explanations, comments and recommendations for self-study, which makes the book a valuable tool for both self-study and training courses. It will provide answers to questions that aspiring mathematicians often have: how to determine the properties of a group, how to build new structures based on it, and why group theory is so important for understanding symmetries in nature, physics, and chemistry. The book "Elements of group theory: a teaching aid" is perfect for undergraduate and graduate students studying algebra, as well as teachers looking for modern and affordable material for lectures and seminars . It will be of interest to those who are passionate about mathematics and want to understand its fundamental laws, as well as specialists from other fields who use group theory in their research - for example, physicists, crystallographers, engineers and computer scientists. What makes this book especially appealing is its style. The team of authors uses a clear and lively language, avoiding excessive academic dryness . They masterfully balance theory and practice, showing how abstract ideas find application in real life. As a result, even the most complex topics become accessible and understandable, and the study turns into an exciting journey through the world of symmetries, structures and mathematical patterns. A special place in the book is occupied by a section devoted to modern trends in group theory, such as representation theory and its application in physics and computer science. This makes the manual relevant and up-to-date, meeting the requirements of today's science. In general, “Elements of group theory: a textbook” is not just a textbook, but a full-fledged tool for those who want to not only master group theory, but also learn how to apply it in various fields of knowledge. If you are looking for a book that will help you understand why mathematics is the language of nature, and how to structure knowledge about symmetries and transformations, this work will be a great start for you. It will open new horizons for you and give you confidence in understanding fundamental mathematical concepts. Inspiring, practical and knowledge-rich, Elements of Group Theory is your reliable companion on the road to mathematical mastery and scientific discovery.