The book “Review Lectures on Higher Algebra” by Mikhail Mikhailovich Glukhov is not just a textbook, but a real find for students, graduate students and anyone who seeks to understand the world of mathematical structures and algebraic systems more deeply. In this work, the author shares his rich experience in teaching and research activities, offering readers a unique look at the complex concepts of higher algebra. From the first pages of the book, Glukhov immerses the reader in the fascinating world of algebra, where each theorem and each formula acquires meaning and significance. He masterfully explains key topics such as groups, rings, fields, and vector spaces, focusing on their interrelation and practical application. The author not only presents the material, but also leads the reader to realize the importance of algebra in other fields of science, such as physics, computer science and economics. This makes the book especially valuable for those who want to see how abstract mathematical concepts can be applied in real life. The book will be of interest not only to students of mathematical and physical-mathematical faculties, but also to those who study related disciplines. It is suitable for both beginners and more experienced readers who want to refresh their knowledge or delve into the study of higher algebra. If you are interested in mathematics, want to prepare for exams or just want to expand your horizons, "Review Lectures on Higher Algebra" will be an excellent choice. One of the features of the Glukhov style is its ability to explain complex things in simple and accessible language. It uses many examples and tasks, which allows the reader not only to assimilate the theory, but also to apply it in practice. This approach makes learning more fun and less stressful, which is especially important for students facing difficult topics. The topics raised in the book are relevant and in demand, especially in light of current trends in education and science. Higher algebra is the basis for many modern technologies and research, and understanding its principles opens the door to new opportunities. Glukhov emphasizes that mathematics is not just a set of formulas, but a whole world full of logic and beauty. It inspires readers to study and research, showing that algebra can be not only useful, but also fascinating. If you are looking for books on higher algebra, which can be a good addition to the "Review lectures on higher algebra", pay attention to such works as "Algebra" by Igor Shafarevich or "