The book "Differential geometry, topology, tensor analysis: a collection of problems" edited by N. and . Kovantsova and other authors is a unique publication that will become a real assistant for students, graduate students and teachers interested in mathematics and its applications in various fields of science. This collection of problems not only offers solutions, but also immerses the reader in the fascinating world of mathematical concepts, allowing a deeper understanding of differential geometry, topology, and tensor analysis. The collection covers a wide range of tasks, ranging from basic concepts to more complex topics, making it ideal for both beginners and more experienced readers. Each task is accompanied by detailed solutions and comments, which helps not only to test your knowledge, but also to understand the intricacies of the theory. This is especially important for those who are preparing for exams or want to deepen their knowledge in mathematics. The book will be of interest to students of mathematical and physical faculties, as well as to those who study related disciplines such as mechanics, computer science and engineering sciences .. It will be an excellent addition to the training materials and will help develop the analytical thinking necessary to solve complex problems. Teachers will also find useful examples and tasks for their students in the collection, which will make the learning process more exciting and productive. The topics raised in the book cover key aspects of differential geometry and topology, including curvature, manifolds, and the foundations of tensor analysis. These concepts are not only important for pure mathematics, but also have many applications in physics, engineering, and other sciences. Understanding these topics opens the door to deeper study of areas such as general relativity, continuum mechanics, and even modern technologies such as computer graphics and machine learning. Style N. and . Kovantsova and his co-authors are distinguished by clarity and accessibility. They are able to explain complex ideas in simple language, which makes the material more understandable to the reader. Kovantsov is a well-known mathematician and author of many textbooks, and his experience in teaching and writing scientific works is noticeable in this collection. He is also the author of other popular books such as Introduction to Differential Geometry and Tensor Analysis for Physicists, which may also interest readers who wish to deepen their knowledge. If you are looking for a book that will not only help you master complex mathematical concepts, but also make the learning process fascinating, then “Differential geometry, topology, tensor analysis: a collection of problems” is exactly what you need. It will become your reliable companion in the world of mathematics, opening new horizons and allowing you to confidently move towards your academic and professional goals. Do not miss the opportunity to immerse yourself in this exciting world, where mathematics becomes not just a set of formulas, but a living tool for understanding the surrounding reality.