A book written by theoretical physicist Academician I. B. Zeldovich, designed for high school students, students of technical schools and persons engaged in self-education, it can be useful for students of the 1st year of universities and universities . The book explains the basic concepts of differential and integral calculus in the most simple, clear and accessible form .. The following is the information necessary for the practical application of higher mathematics to the problems of physics and engineering .. On the basis of higher mathematics, a large number of physical questions are considered: radioactive decay, nuclear chain reaction, the laws of mechanics, in particular, reactive motion and cosmic velocity, molecular motion. Considered electrical phenomena and, in particular, the theory of oscillations, which is the basis of radio engineering. Along with mathematical research, the physical nature of the phenomena under consideration is described in great detail..