# Supplementary mathematics/Number Theory

Number theory is one of the branches of pure mathematics, which is mainly devoted to the investigation and study of functions of integers, arithmetic functions, and functions of natural numbers. German mathematician Carl Friedrich Gauss (1855-1777) said: "Mathematics is the queen of sciences, and number theory is the queen of mathematics."

Students of number theory, prime numbers, as well as the characteristics of numbers from numbers such as integers (such as rational numbers), or defining it as generalizing one number to another number to use for some aspects of numbers as convenient working and completion with it For example, they study integers to use coordinates and algebraic integers, etc.

First of all, integers are used in other places where it is necessary to calculate area and volume, use as calculation of integration and Fourier series expansions, etc. and it can be said that it is used by everyone and cannot be seen anywhere without its application. Secondly, he considered integers as a solution for equations, for example Diophantine geometry equations. Questions in number theory are often studied through the study of analytic objects and complex states (for example, Riemannian zeta functions) in which the properties of natural numbers and Arithmetic and integers and prime numbers are coded (analytical number theory) in the best way for Bai to understand. He also used real numbers as a study about rational numbers, for example Diophantine's approximation.