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Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." [1]
Number theory is a branch of mathematics which helps to study the set of positive whole numbers, say 1, 2, 3, 4, 5, 6,. . . , which are also called the set of natural numbers and sometimes called “higher arithmetic”.
More formal approaches can be found all over the net, e.g: Victor Shoup, A Computational Introduction to Number Theory and Algebra.
Jun 28, 2024 · Number theory is a branch of mathematics that deals with the properties and relationships of numbers, particularly integers. It explores patterns, structures, and properties of numbers and seeks to understand their fundamental properties and behaviors.
May 28, 2024 · Number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Modern number theory is a broad subject that is classified into subheadings such as elementary number theory, algebraic number theory, analytic number theory, and geometric number theory.
Number theory, also known as 'higher arithmetic', is one of the oldest branches of mathematics and is used to study the properties of positive integers. It helps to study the relationship between different types of numbers such as prime numbers, rational numbers, and algebraic integers.
1 day ago · Number theory is the study of properties of the integers. Because of the fundamental nature of the integers in mathematics, and the fundamental nature of mathematics in science, the famous mathematician and physicist Gauss wrote:
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.
This is Number theory, a branch of mathematics that explores the properties and relationships of integers. The cool part is that anyone can join in, it is mostly basic operations like multiplication and addition!
The main goal of number theory is to discover interesting and unexpected relation- ships between different sorts of numbers and to prove that these relationships are true.
