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Eluer's Number
"There is a famous formula, perhaps the most compact and famous of all formulas, developed by Euler: e^(i pi) + 1 = 0... It appeals equally to the mystic, the scientist, the philosopher, the mathematician."
-- Edward Kasner and James Newman
“Read Euler: he is our master in everything.”
- Pierre-Simon de Laplace
Leonhard Paul Euler
- 1707-1783
- Swiss Mathematician
- First to study in detail and
name "e" in 1727
e
- "e" is an irrational
number (found in 1737)
- it cannot be expressed
as a ratio of two intergers
- First 18 digits calculated
by Eluer in 1748
- There are currently over
100,00,00,00,000 digits for "e"
Euler's Number
The number e is an important mathematical constant, approximately equal to 2.71828, that is the base of the natural logarithm. It is the limit of (1 + 1/n)n as n becomes large, an expression that arises in the study of compound interest, and can also be calculated as the sum of the infinite series
What is e?
Uses
Alexander Pardo
- Catenary shape os a hangling rope supportes at it's two ends
- Calculating compound interest
- Bernoulli trials
- Derangements
- Asymptotics
- Calculus
- Number Theory
- Physics