The number e was introduced by Jacob Bernoulli in 1683. More than half a century later, Leonhard Euler, who had studied under Jacob Bernoulli's younger brother Johann, proved that e is irrational, meaning it cannot be expressed as the quotient of two integers.
Facts
StatementThe number e cannot be expressed as the quotient of two integers, that is, e is irrational. 1 Classification
Statement FormCharacterization Theorem 1 Connections
Has Statement Form
In Branch
Source Proof that e is irrational, Wikipedia
Proved By
Source Proof that e is irrational, Wikipedia
Sources
1. Proof that e is irrational, Wikipedia
Introduction section
proved that e is irrational; that is, that it cannot be expressed as the quotient of two integers.
Euler's proof section
Euler wrote the first proof of the fact that e is irrational in 1737 (but the text was only published seven years later).
Proved By: Leonhard Euler, Lead
Euler wrote the first proof of the fact that e is irrational in 1737 (but the text was only published seven years later).
In Branch: Number Theory, Lead section
is, that it cannot be expressed as the quotient of two integers.
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