The book "Differential and integral calculus of functions of several variables" under the authorship of a team of authors, including P. A. Velmisova, is an indispensable textbook for students, graduate students and anyone who seeks to deepen their knowledge in the field of mathematical analysis. This work not only covers theoretical foundations, but also offers practical approaches to solving problems, making it an ideal choice for those who want not only to study the material, but also to put it into practice. At the heart of the book is the topic of multidimensional analysis, which is the basis for many scientific and engineering disciplines. Readers immerse themselves in the world of multiple variable functions, where they study key concepts such as partial derivatives, gradients, integrals, and differentials. Each section of the book is imbued with logic and consistency, which allows even beginners in mathematics to easily assimilate complex ideas. However, despite the availability of the presentation, the book does not lose depth and scientific rigor, which makes it suitable for both beginners and more experienced readers. Who is this book intended for? First of all, it will be useful for students of technical and natural science specialties, as well as for those who are preparing for exams in mathematics . If you study physics, engineering or economics, then this guide will become your reliable companion in mastering complex topics. The book will also be of interest to teachers who are looking for quality materials to prepare for classes and lectures . The topics raised in the book cover a wide range of issues, ranging from the basics of function theory to more complex aspects such as multidimensional integrals and their applications. Velmisov and his colleagues focus on the practical application of mathematical concepts, which allows readers not only to understand the theory, but also to see its real application in various fields of science and technology. This makes the book especially valuable for those who want not only to learn formulas, but also to understand how they work in the real world. The style of the authors is clear and logical . They seek to explain complex ideas in simple language, which avoids overloading with terminology. Each section is accompanied by examples and tasks, which helps the reader to consolidate the knowledge gained . This approach makes the book not only a textbook, but also a fascinating guide to the world of multidimensional analysis. It is worth noting that the team of authors working on this book has extensive experience in teaching and scientific activities. Their previous work has also earned recognition in the academic community, which adds additional value to this manual. If you are looking for similar books, pay attention to the "Mathematical Analysis" H. N. Lebedeva or "Course of mathematical analysis" B. and . Arnold, who also offers a deep dive into the world of mathematics. In conclusion, “Differential and integral calculus of functions of several variables” is not just a textbook, but a real find for anyone who wants to master the art of multidimensional analysis. This book will be your reliable assistant in the study of complex topics and will help develop the analytical thinking necessary for a successful career in science and technology. Do not miss the opportunity to immerse yourself in the fascinating world of mathematical analysis with this high-quality and affordable guide!