The book "Typical calculations and methodical instructions on the topics: "Rivers", "Infinite, curvilinear, surface integrals . Elements of the theory of N. A. Mikulika is an indispensable resource for students, graduate students and teachers involved in mathematics and related disciplines. In this edition, the author offers readers a deep dive into the world of mathematical analysis, highlighting key topics such as series, integrals, and the foundations of function theory that are fundamental to understanding more complex mathematical concepts. The book begins with the basics of series, which are sequences of numbers summed in a particular order.. Mikulik not only lists formulas and rules, but also offers readers methodological guidelines that will help them better understand how to apply these concepts in practice. It shares typical tasks that may occur in exams or research, making the book particularly useful for students preparing for test papers or defenses. Next, the author smoothly passes to multiples, curvilinear and surface integrals . These topics may seem complicated, but Mikulik masterfully explains them using illustrative examples and step-by-step solutions. Readers will be able to see how integrals are used in areas ranging from physics to engineering, making the material more accessible and interesting. An important aspect of the book is its practical orientation: each section includes problems with solutions, which allows readers not only to study the theory, but also to consolidate knowledge in practice. Who is this book suitable for? First of all, it will be useful for university students studying mathematics, physics and engineering sciences . She may also be interested in teachers who are looking for high-quality teaching materials for their classes. Even those who have long left the walls of educational institutions will find it useful information for self-education or preparation for exams in mathematics. The book will be especially relevant for those who appreciate a structured approach to the study of complex topics and are looking for clear explanations. The topics raised in the book go well beyond just learning the formulas. Mikulik touches on the philosophical aspects of mathematics, showing how mathematical concepts can be related to the real world. He emphasizes the importance of understanding not only the mechanics of the calculations, but also a deep understanding of their meaning. This makes the book not only a textbook, but also a real guide to the world of mathematical thinking. Style N. A. Mikulika is distinguished by clarity and accessibility. His ability to explain complex things in plain language makes the book particularly appealing to a wide audience. The author is also known for his other works in the field of mathematics, which confirms his status as an expert in this field. Readers familiar with his previous editions will appreciate the consistency and depth of analysis he offers in this book. Thus, "Typical calculations and methodical instructions on the topics: "Rivers", "Short, curvilinear, surface integrals . Elements of the theory of "p" is not just a textbook, but a whole encyclopedia of knowledge that will help readers not only to master mathematical concepts, but also to love this science. If you are looking for high-quality and affordable material to study mathematical analysis, this publication will become your reliable companion on the way to knowledge.