The book "The Tasker on the course of mathematical analysis" under the authorship of N. I. Vilenkina and other authors are an indispensable assistant for students, graduate students and anyone who seeks to deepen their knowledge in the field of mathematical analysis. This work is not just a collection of problems, but a whole methodology that helps the reader not only to solve specific problems, but also to develop analytical thinking, which is especially important in mathematics. Vilenkin and his co-authors offer readers a wide range of tasks covering all the key topics of the course of mathematical analysis. Each task is thought out and has its own logic, which allows not only to consolidate theoretical knowledge, but also to apply them in practice. The book includes both simple and more complex tasks, which makes it suitable for readers with different levels of training. Students studying at the faculties of mathematics, physics, engineering and other technical specialties will find here a lot of useful exercises that will help them prepare for exams and test papers. Topics covered in the problem book cover basic concepts of mathematical analysis, such as limits, derivatives, integrals, series, and functions of several variables. Each chapter begins with a brief theoretical introduction that allows the reader to refresh their memory with basic formulas and theorems before moving on to practical tasks. This makes the book especially valuable for those who want not only to mechanically solve problems, but also to understand how and why certain mathematical methods work. The book "Tasker on the course of mathematical analysis" will be interesting not only for students, but also for teachers who are looking for quality materials for their classes. It can become the basis for seminars and practical exercises, as well as help in the development of their own tasks. Teachers will appreciate the structure and accessibility of the presentation, as well as the variety of tasks that allows you to adapt the material to different levels of student training. Style N. I. Vilenkina is distinguished by clarity and logic, which makes his work especially valuable in the educational process. He is the author of many textbooks and manuals on mathematics, among which can be distinguished "Course of mathematical analysis" and "Mathematical statistics". These works are also popular and recognized among students and teachers, which indicates a high level of professionalism of the author. The book will be interesting not only for those who study at universities, but also for those who are simply interested in mathematics and want to deepen their knowledge. It can be a great addition to the library of anyone interested in the exact sciences. If you are looking for high-quality material to prepare for exams or just want to improve your skills in mathematical analysis, this tasker will be a real find for you. In conclusion, the “Mathematical Analysis Challenger” is not just a book with problems, but a whole world in which the reader immerses himself, developing his mathematical abilities and skills. It will be a faithful companion on the way to understanding complex mathematical concepts and will help anyone who seeks knowledge to reach new heights in the study of mathematical analysis.