The Magic of Continuous Growth

Your savings account, the world's population, and a cooling cup of coffee all follow the exact same mathematical

rule. It's all about a magic number called 'e', roughly 2.718.

Imagine getting interest on your savings. Compounding it yearly is one thing,

but what if it was compounded continuously, every single instant? Your money would grow by a factor

of 'e'. This is the ultimate formula for continuous growth, describing anything

where the rate of change depends on its current size. It models population booms with a positive

power and things fading away, like heat from coffee, with a negative power.