e (in mathematics)
e, in mathematics, irrational number occurring widely in mathematics and science, approximately equal to the value 2.71828; it is the base of natural, or Naperian, logarithms. The number e is defined as the limit of the expression (1+1/n)n as n becomes infinitely large, or
In 1873 the French mathematician C. Hermite proved that e was transcendental, i.e., not a root of any algebraic equation; this proof constituted a great contribution to the growth of mathematics. The number e is also known as Euler's number, for Leonhard Euler, who discovered the famous formula eiπ=-1, where i=-1, thus expressing the relationship between the numbers e, i, and π. The exponential function ex, often written exp(x), occurs in various applications ranging from statistics to nuclear physics.
See study by E. Maor (1994).
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Publication information: Article title: e (in mathematics). Encyclopedia title: The Columbia Encyclopedia, 6th ed.. © 2012 The Columbia Electronic Encyclopedia © 2012, Columbia University Press. Licensed from Columbia University Press. Used with the permission of Columbia University Press. All Rights Reserved. Publisher: The Columbia University Press. Place of publication: Not available. Publication year: 2013.
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