Pythagoras' legacy: mathematics in ten great ideas

The Pythagorean theorem : the birth of mathematics

Prime numbers : the DNA of mathematics

Zero : place-holder and peculiar number

(Pi) : a ubiquitous and strange number

Exponents : notation and discovery

e : a very special number

i : imaginary numbers

Infinity : a counterintuitive and paradoxical idea

Decidability : the foundations of mathematics

The algorithm : mathematics and computers.