The book “Some Questions of Approximation Theory” by Vladimir Mikhailovich Tikhomirov is a fascinating and deep immersion into the world of mathematical analysis and approximation theory. This work, written by an outstanding Russian mathematician, is not only a scientific work, but also a source of inspiration for all who are interested in mathematics, its applications and philosophy. In his work, Tikhomirov raises important questions regarding the methods of approximation of functions, which is one of the key topics in mathematics. It examines different approaches to solving approximation problems and analyzes their effectiveness and applicability. The reader will be able to learn about the variety of methods such as polynomials, trigonometric functions and others, as well as how they can be used to solve practical problems in science and technology. An intriguing aspect of the book is that the author not only lays out the theory, but also shares his thoughts on how these methods can be applied in real life, which makes the material particularly relevant. The book will be of interest to both students and graduate students of mathematical and engineering specialties, as well as practitioners working in the field of applied mathematics, physics and computer science .. It is suitable for those who want to deepen their knowledge in approximation theory, as well as for those who are looking for new approaches to solving complex problems. Given the level of complexity of the material, it is recommended that readers have a basic knowledge of mathematical analysis and linear algebra. The topics raised in the book cover a wide range of issues, ranging from the foundations of approximation theory to modern methods that are actively used in scientific research. Tikhomirov focuses on how important the accuracy and effectiveness of approximation methods are in various fields, such as numerical methods, signal processing, and even economics. This makes the book particularly valuable for those seeking to understand how mathematical concepts can be applied to solve real-world problems. Tikhomirov's style is distinguished by clarity and accessibility, which allows even complex concepts to be understandable to a wide audience. His ability to explain complex ideas in simple language makes the book attractive to readers with different levels of training. In addition, the author is known for his other works, such as "Fundamentals of Function Theory" and "Approximate Methods in Mathematics", which also deserve attention and can supplement the knowledge gained from this book. If you are looking for literature that will help you expand your horizons in the field of mathematics, or want to delve into the theory of approximations, then Vladimir Mikhailovich Tikhomirov’s Some Questions of Approximation Theory will be an excellent choice. This book will not only enrich your knowledge, but also inspire new research and discoveries in the world of mathematics. Do not miss the opportunity to get acquainted with the work that combines theoretical depth and practical significance, and discover the amazing world of approximation that awaits you in the pages of this work.