Euler's Number

The base of natural growth — the one base for which the exponential is its own derivative.

Specifications & Metrics

symbol

e

approx

2.71828182845904…

Core Principles & Analysis

• Napier's logarithm tables touched it in 1614 before anyone named it.
• Euler proved e irrational and connected it to π through the identity e^{iπ} + 1 = 0.
• Compound interest at 100% paid continuously grows a sum by exactly a factor of e.