| Share


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;e13;none;1;e13;;;block;;;;no;1;4224n;90919n;;;;;eq13;comptd;;center;stack;;;;;CE5In 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 e i π = - 1, where i = - 1art/square-root-of-negative-1.gif the square root of negative 1, thus expressing the relationship between the numbers e, i, and π. The exponential function e x , often written exp( x ), occurs in various applications ranging from statistics to nuclear physics.

See study by E. Maor (1994).

The Columbia Electronic Encyclopedia, 6th ed. Copyright © 2012, Columbia University Press. All rights reserved.

See more Encyclopedia articles on: Mathematics

Premium Partner Content
HighBeam Research
Documents Images and Maps Reference
(from Newspapers, Magazines, Journals, Newswires, Transcripts and Books)

Research our extensive archive of more than 80 million articles from 6,500 publications.

Additional search results provided by HighBeam Research, LLC. © Copyright 2005. All rights reserved.

24 X 7

Private Tutor

Click Here for Details
24 x 7 Tutor Availability
Unlimited Online Tutoring
1-on-1 Tutoring
Expert Tutors for Math Help & Algebra Help