The book "Differential geometry, topology, tensor analysis: a collection of problems" under the authorship of N. and . Kovantsova and other authors is a unique publication that will become an indispensable assistant for students, graduate students and anyone interested in mathematics at a deeper level. This is not just a collection of tasks - it is a whole world in which readers are immersed, seeking to understand complex concepts and apply them in practice. This collection contains tasks covering key topics of differential geometry, topology, and tensor analysis. Each task is designed to not only test knowledge, but also to deepen understanding of the subject. Readers will be able to face various levels of complexity, ranging from basic concepts to more complex tasks that require a creative approach and in-depth analysis. This makes the book suitable for both beginners and more experienced mathematicians. The topics raised in this collection are fundamental to the understanding of modern mathematical analysis and its applications in physics, engineering, and other sciences. Differential geometry, for example, plays a key role in the theory of relativity, and topology helps in the study of spaces and their properties. Tensor analysis, in turn, is an important tool in various fields, including mechanics and field theory. Each of these topics is revealed through tasks that not only develop analytical thinking, but also show how theoretical concepts are applied in real-world situations. The book will be of particular interest to students of mathematical and physical faculties, as well as to all those who are engaged in scientific research in the field of mathematics. It is suitable for those who like to solve problems and strive for a deep understanding of the subject. If you are looking for literature that will help you prepare for exams or deepen your knowledge, this collection will be an excellent choice. The style of the authors is distinguished by clarity and accessibility, which makes the material easy to perceive. N. and . Kovantsov is a famous mathematician who is also the author of other popular textbooks and manuals, such as