The book "Differential geometry, topology, tensor analysis . Collection of tasks: Training manual for universities" under the authorship of N. and . Kovantsov and his co-authors are not just a textbook, but a real find for students, graduate students and teachers who seek to better understand and master the complex concepts of mathematics. This manual covers key aspects of differential geometry, topology, and tensor analysis, providing readers with not only the theoretical knowledge but also the practical skills necessary to successfully solve problems in these areas. The book begins with the basics, gradually plunging the reader into the world of abstract concepts and complex mathematical structures. Each section includes carefully selected tasks that help to consolidate the knowledge gained and develop analytical thinking. These tasks range from simple to highly complex, making the manual suitable for both beginners and more experienced students. Interestingly, the authors not only offer solutions, but also explain approaches to finding them, which allows the reader not only to memorize the formulas, but really understand how and why they work. Who is this textbook suitable for? First of all, it will be useful for students of mathematical and physical specialties, as well as for everyone who is interested in applied mathematics . If you are passionate about topics such as relativity, mechanics, computer science or even economics, then the book will become a valuable resource for you. It may also be of interest to teachers who are looking for quality materials to prepare their students for exams and practical classes. The topics raised in the book cover a wide range of issues, ranging from the basics of differential geometry to more complex concepts of tensor analysis. The authors pay attention not only to theoretical aspects, but also to their practical application, which makes the material especially relevant for the modern world of science and technology. The book helps to develop logical thinking and problem-solving skills, which is important for any professional activity. Style N. and . Kovantsov and his colleagues are distinguished by clarity and accessibility of presentation, which makes even the most complex topics understandable to a wide audience. Kovantsov is a well-known author in the field of mathematics, his work is often used in educational institutions and in advanced training courses. In addition to this manual, he has also written numerous articles and textbooks that have earned recognition both in Russia and abroad. If you are looking for literature on differential geometry, topology or tensor analysis, then "Differential geometry, topology, tensor analysis. It will be a great help for you.... This is not just a set of tasks, but a whole system of knowledge that will help you confidently step into the world of complex but fascinating mathematics. Do not miss the opportunity to expand your horizons and deepen your knowledge with this unique tutorial!