What is number theory (higher arithmetic)? - Definition from WhatIs.com


number theory (higher arithmetic)

Part of the Mathematics glossary:

Number theory, also known as higher arithmetic, is a branch of mathematics concerned with the properties of integer s, rational number s, irrational number s, and real number s. Sometimes the discipline is considered to include the imaginary and complex numbers as well.

Formally, numbers are represented in terms of set s; there are various schemes for doing this. However, there are other ways to represent numbers -- for example, as angles, as points on a line, as points on a plane, or as points in space.

The integers and rational numbers can be symbolized and completely defined by numeral s. The system of numeration commonly used today was developed from systems used in Arab texts, although some scholars believe they were first used in India. The so-called Arabic numerals are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

This was last updated in March 2011
Posted by: Margaret Rouse

Related Terms


  • extrapolation and interpolation

    - Extrapolation is an estimation of a value based on extending a known sequence of values or facts beyond the area that is certainly known. (WhatIs.com)

  • negative correlation

    - A negative correlation is a relationship between two variables such that as the value of one variable increases, the other decreases.  Correlation is expressed on a range from +1 to -1, known as th... (WhatIs.com)

  • Euler diagram

    - An Euler diagram (pronounced OY-ler diagram) is a graphic depiction commonly used to illustrate the relationships between sets or groups; the diagrams are usually drawn with circles or ovals, altho... (WhatIs.com)


  • Mathematics

    - Terms related to mathematics, including definitions about logic, algorithms and computations and mathematical terms used in computer science and business.

  • Internet applications

    - This WhatIs.com glossary contains terms related to Internet applications, including definitions about Software as a Service (SaaS) delivery models and words and phrases about web sites, e-commerce ...

Ask a Question About number theory (higher arithmetic)Powered by ITKnowledgeExchange.com

Get answers from your peers on your most technical challenges

Tech TalkComment



    Contribute to the conversation

    All fields are required. Comments will appear at the bottom of the article.