The basics of calculating infinitely small. From integral calculus to differential: Synthesis of practice

The attention of readers is offered a classic course of calculating infinitely small, written by an outstanding mathematician, historian of science and teacher M. Ya. Vygodsky. The main idea from which the author emanated when building a book and which distinguishes this book from other analysis courses - the basic concepts of higher mathematics are revealed to the students in the inconsistent form in which they are borrowed from the study of the simplest facts of natural science and technology and in which their living is immediately discovered Communication with specific nature processes. The basic concepts of analysis are given in their development, which allows the organic connection of theory with practice. The starting point is not the task of differentiation, but the task of integrating, since at the same time a much wider field of study of specific issues is revealed immediately. The book is recommended for students of physical, mathematical and technical universities, graduate students, teachers, scientists.