Number | Wikipedia audio article
Channel: wikipedia tts
Date: 2019-10-04

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Number


00:02:45 1 History
00:02:54 1.1 Numerals
00:03:44 1.2 First use of numbers
00:04:37 1.3 Zero
00:08:38 1.4 Negative numbers
00:10:49 1.5 Rational numbers
00:12:01 1.6 Irrational numbers
00:15:32 1.7 Transcendental numbers and reals
00:16:10 1.8 Infinity and infinitesimals
00:18:16 1.9 Complex numbers
00:23:07 1.10 Prime numbers
00:24:02 2 Main classification
00:25:24 2.1 Natural numbers
00:26:27 2.2 Integers
00:29:01 2.3 Rational numbers
00:30:10 2.4 Real numbers
00:32:12 2.5 Complex numbers
00:35:50 3 Subclasses of the integers
NaN:NaN:NaN 3.1 Even and odd numbers
NaN:NaN:NaN 3.2 Prime numbers
NaN:NaN:NaN 3.3 Other classes of integers
NaN:NaN:NaN 4 Subclasses of the complex numbers
NaN:NaN:NaN 4.1 Algebraic, irrational and transcendental numbers
NaN:NaN:NaN 4.2 Constructible numbers
NaN:NaN:NaN 4.3 Computable numbers
NaN:NaN:NaN 5 Extensions of the concept
NaN:NaN:NaN 5.1 ip/i-adic numbers
NaN:NaN:NaN 5.2 Hypercomplex numbers
NaN:NaN:NaN 5.3 Transfinite numbers
NaN:NaN:NaN 5.4 Nonstandard numbers
NaN:NaN:NaN 6 See also
NaN:NaN:NaN 7 Notes
NaN:NaN:NaN 8 References
NaN:NaN:NaN 9 External links
NaN:NaN:NaN Nonstandard numbers
NaN:NaN:NaN See also



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SUMMARY
=======
A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. A written symbol like "5" that represents a number is called a numeral. A numeral system is an organized way to write and manipulate this type of symbol, for example the Hindu–Arabic numeral system allows combinations of numerical digits like "5" and "0" to represent larger numbers like 50. A numeral in linguistics can refer to a symbol like 5, the words or phrase that names a number, like "five hundred", or other words that mean a specific number, like "dozen". In addition to their use in counting and measuring, numerals are often used for labels (as with telephone numbers), for ordering (as with serial numbers), and for codes (as with ISBNs). In common usage, number may refer to a symbol, a word or phrase, or the mathematical object.
In mathematics, the notion of number has been extended over the centuries to include 0, negative numbers, rational numbers such as 1/2 and −2/3, real numbers such as √2 and π, and complex numbers, which extend the real numbers with a square root of −1 (and its combinations with real numbers by addition and multiplication). Calculations with numbers are done with arithmetical operations, the most familiar being addition, subtraction, multiplication, division, and exponentiation. Their study or usage is called arithmetic. The same term may also refer to number theory, the study of the properties of numbers.
Besides their practical uses, numbers have cultural significance throughout the world. For example, in Western society, the number 13 is regarded as unlucky, and "a million" may signify "a lot." Though it is now regarded as pseudoscience, belief in a mystical significance of numbers, known as numerology, permeated ancient and medieval thought. Numerology heavily influenced the development of Greek mathematics, stimulating the investigation of many problems in number theory which are still of interest today.During the 19th century, mathematicians began to develop many different abstractions which share certain properties of numbers and may be seen as extending the concept. Among the first were the hypercomplex numbers, which consist of various extensions or modifications of the complex number system. Today, number systems are considered important special examples of much more general categories such as rings and fields, and the application of the term "number" is a matter of convention, without fundamental significance.