The book "Higher mathematics: a textbook . In 2 parts. Part 1" edited by Andrei Vladimirovich Ankilov is not just a textbook, but a real find for students, graduate students and anyone who seeks to deepen their knowledge in the field of higher mathematics. This manual was created by a team of authors who joined forces to present the material in an accessible and understandable form, making it ideal for self-study. In the first part of the manual, readers will find extensive material covering key sections of higher mathematics, such as analysis, linear algebra, differential equations, and much more. Each topic is presented taking into account modern requirements for the educational process, which allows not only to learn the theoretical foundations, but also to apply them in practice. The book includes many examples, tasks and exercises, which makes the learning process more interactive and exciting. The manual pays special attention to methods of solving problems, which is especially useful for students of technical specialties . The reader will be able not only to understand how to solve specific problems, but also learn how to apply the acquired knowledge in various fields, such as physics, engineering and economics. This makes the book relevant not only for students of mathematics departments, but also for everyone who is associated with the exact sciences. Who can like this tutorial? First of all, it will be useful for students of higher educational institutions studying mathematics at the bachelor's and master's level . The book will also be of interest to teachers who are looking for high-quality materials to prepare for classes . In addition, graduate students and specialists working in the scientific field will find in it a lot of useful Even those who have long left the walls of educational institutions, but want to refresh their knowledge or prepare for exams, will be able to learn a lot from this manual useful. The topics raised in the book go beyond the simple study of formulas and theorems. They touch upon important aspects such as logical thinking, analytical approach to problem solving, and the development of mathematical intuition. These skills are extremely important in today's world, where mathematical models and algorithms play a key role in various areas of life. The style of the authors is distinguished by the clarity and logic of the presentation . They avoid complex and confusing wording, which allows the reader to easily perceive information. This approach makes the tutorial available even to those who do not have a deep knowledge of mathematics. In addition, the book uses modern examples and applications, which makes the material relevant and interesting. Andrey Vladimirovich Ankilov, as an editor and one of the authors, is known for his work in the field of higher mathematics and pedagogy. His experience and knowledge in this field allow him to create high-quality educational materials that meet the modern requirements of education. His other works are also noteworthy, as they are aimed at developing mathematical thinking and deepening students' knowledge. Thus, "Higher Mathematics: A Tutorial. In 2 parts. Part 1" is not just a book, but a full-fledged learning tool that will help the reader not only to master complex mathematical concepts, but also to develop critical thinking and analytical abilities. This manual will be a reliable companion on the way to success in the study of higher mathematics and can become the basis for further professional growth in various fields of science and technology.