Theory of numbers. Arnold I.V.

The attention of readers is proposed to the book of mathematics and methodologist I.V. Arnold, dedicated to the problems of the theory of numbers. Among them is the logical substantiation and generalization of the concept of number in connection with the general axiomatic definition of the scalar numerical field, the theory of divisibility, simple numbers, the tasks of the additive theory of numbers, the theory of comparisons, etc. At the end of the book, a brief historical reference is attached, in which the main points are highlighted The development of the theory of numbers within the framework of questions raised in the book, and also exercises of varying degrees of difficulties are given, however, to solve only elementary techniques. The book is recommended for students and teachers of pedagogical and natural universities, mathematics teachers, methodologists.