Mathematical constant | Wikipedia audio article
Channel: wikipedia tts
Date: 13/01/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Mathematical_constant


00:00:57 1 Basic mathematical constants
00:01:16 1.1 Archimedes' constant spanπ
00:04:41 1.2 Euler's number spane
00:08:02 1.3 Pythagoras' constant spanspan&#8730;span2
00:10:00 1.4 The imaginary unit spani
00:11:23 2 Constants in advanced mathematics
00:11:39 2.1 The Feigenbaum constants &#945; and &#948;
00:13:02 2.2 Apéry's constant &#950;(3)
00:13:39 2.3 The golden ratio spanφ
00:15:19 2.4 The Euler–Mascheroni constant &#947;
00:16:37 2.5 Conway's constant i&#955;/i
00:17:10 2.6 Khinchin's constant iK/i
00:18:44 2.7 The Glaisher–Kinkelin constant iA/i
00:20:15 3 Mathematical curiosities and unspecified constants
00:20:28 3.1 Simple representatives of sets of numbers
00:22:18 3.2 Chaitin's constant &#937;
00:23:06 3.3 Unspecified constants
00:23:43 3.3.1 In integrals
00:24:39 3.3.2 In differential equations
00:25:43 4 Notation
00:25:52 4.1 Representing constants
00:26:01 4.2 Symbolizing and naming of constants
00:28:18 5 Table of selected mathematical constants
00:29:53 6 See also
00:30:30 7 Notes
00:30:47 8 External links
00:30:55 External links



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SUMMARY
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A mathematical constant is a special number that is "significantly interesting in some way". Constants arise in many areas of mathematics, with constants such as e and π occurring in such diverse contexts as geometry, number theory, and calculus.
What it means for a constant to arise "naturally", and what makes a constant "interesting", is ultimately a matter of taste, and some mathematical constants are notable more for historical reasons than for their intrinsic mathematical interest. The more popular constants have been studied throughout the ages and computed to many decimal places.
All mathematical constants are definable numbers and usually are also computable numbers (Chaitin's constant being a significant exception).