The basics of applied algebra. Tutorial

The manual includes such sections as integers, elements of the common algebra, the general theory of polynomials, expansion of fields, final fields, polynomials above the final fields, elliptical curves. These sections play an important role in applications. The level of complexity of the presentation is low, but it is assumed that the reader has mathematical training. At the end of each chapter, tasks for independent solution are proposed. They are aimed at mastering basic concepts and basic algorithms.
A textbook is intended for students studying in the areas of Mathematics and Mechanics, "Computer and Information Sciences", "Information Security", "Education and Pedagogical Sciences", other areas and specialties of a mathematical and technical profile.
A textbook can be used both for teaching applied algebra as an independent discipline, and as the basis for various courses in algebra, coding and cryptography