Concentrated course of higher mathematics. Differential and integral calculus. Numerical and functional series

The textbook covers a large number of sections of higher mathematics. The presentation style is focused on students studying the highest mathematics for the first time, so many concepts and evidence are explained and are commented in detail. At the same time, all terms are given strict definitions, and almost all theorems are equipped with complete evidence.
The course includes not only all the main topics of the highest mathematics, but also more special sections. The selection of topics was determined in such a way as to give the student a rather voluminous “gentleman"s set” in higher mathematics.
The publication consists of two parts emerging by individual books. The present first book contains such sections of the highest mathematics as differential and integral calculus, numerical and functional rows, algebra and geometry. The second book containing sections: ordinary differential equations and dynamic systems, functions of a complex variable, the theory of probabilities and mathematical statistics, optimization and discrete mathematics, comes out simultaneously with the first in our publishing house.
The book will be useful to students of various specialties, from economic to engineering and mathematical, as well as for self -education. In addition, the concentrated course will be useful to graduate students to quickly recall or master the necessary sections of mathematics at the modern level