The monograph deals with the main sections of the theory limits differential and integral calculus functions of one and several variables and their application. Contains a large number of illustrative exercises and tasks as well as solved tasks - standards for independent work of students. For students and teachers of physical and mathematical specialities.The manual contains 4 sections covering the fundamental topics of mathematical analysis: definition sets of real numbers limit of a numerical sequence functions of one and several variables differential calculus of functions of one and several variables. The material is arranged and distributed in such a way that the reader whether a teacher or a student can easily prepare a summary for independent work. Traditional deductive (with evidence) style presentation of fundamental theoretical sections is aimed at creating a solid logical base and the necessary knowledge and skills.
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