Mathematical Analysis of the Functions of Several Variables . Part 3 . Curvilinear and surface integrals . Elements of Vector Analysis" by Soldatov M. A. , Round C. C. and Round E. In. is an indispensable educational resource for students, graduate students and specialists who delve into the field of higher mathematics and vector field theory This is the third part of the series, which covers the most important sections of mathematical analysis, revealing complex topics of curvilinear and surface integrals, as well as elements of vector analysis with clarity and consistency characteristic of the author's style. This book is not just a theoretical textbook, but a complete guide that can turn complex mathematical concepts into understandable and logical tools for practical application. In it, the authors masterfully combine a strict academic style with a living explanation, which makes the material available even for those who are just starting to dive into the topic. The reader will find here not only formulas and definitions, but also a rich set of examples illustrating real problems and methods for solving them, which is especially important for consolidating knowledge and developing analytical thinking skills. The book is especially suitable for senior students, graduate students and teachers looking for a reliable source for in-depth study of vector analysis, as well as engineers and specialists working in the field of physics, mechanics and applied sciences. The age range of readers - from undergraduate students who master the basics of mathematical analysis, to professionals who need to expand their knowledge and practical skills in the field of integral methods and vector fields The peculiarity of this work is the careful disclosure of the topic of curvilinear and surface integrals, which are fundamental tools for describing physical processes, such as electromagnetic fields, hydrodynamics and continuum mechanics. The authors analyze in detail the theoretical foundations, give practical methods of calculation and demonstrate the application of the Stokes, Gauss theorems and other key results in the context of multidimensional integrals. This approach allows the reader not only to understand how these tools work, but also to learn how to apply them to real-world problems, which makes the book especially valuable for those who are looking for a practical guide to complex mathematical concepts. The style of the authors is distinguished by clarity, logical harmony and a wealth of examples, which makes the book attractive for self-study. Soldiers, Kruglov and Kruglov are authors with rich pedagogical experience, their work is distinguished by depth and accuracy, as well as the ability to explain even the most complex ideas in a simple and understandable language. In their other works, such as textbooks on mathematical analysis and vector algebra, there is a similar method of submitting material, which makes their books popular among students and teachers. If you are looking for a book that will help you understand and master curvilinear and surface integrals, as well as elements of vector analysis, then "Mathematical analysis of the functions of several variables. Part 3" will be a reliable companion for you. It is worth reading to those who want not only to master the theoretical foundations, but also to learn how to apply the acquired knowledge to solve applied problems, whether in the field of physics, engineering or applied mathematics. This book is your key to a deep understanding of complex mathematical structures that reveal the beauty and power of analyzing the functions of multiple variables. If you are interested in topics such as integrals on curves and surfaces, vector analysis theorems, differential forms and their application, then this book is exactly what you need. In search of a textbook on mathematical analysis for students or a guide to vector fields, it will become an indispensable assistant. Note "Mathematical analysis of functions of several variables. Part 3" - and you will discover new horizons in the study of higher mathematics, take a step towards professional mastery and expand your scientific horizons